Quantitative Aptitude | SI & CI Problems (Hard Level Part-1)

BOOST UP PDFS | Quantitative Aptitude | SI & CI Problems (Hard Level Part-1)

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1.Raghav borrowed some money at the rate of 4

p.c.p.a for the first three years, at the rate of 8 p.c.p.a

for the next two years and at the rate of 9 p.c.p.a for

the period beyond 5 years. If he pays a total simple

interest of Rs 19550 at the end of 7 years, how much

money did he borrow?

a. Rs 39500

b. Rs 42500

c. Rs 41900

d. Rs 43000

e. Rs 45500

2. Two equal sums of money were invested-one at

9/2% p.a. and the other at 4% p.a. At the end of 7

years, the simple interest received from the former

was exceeded to that received from the latter by Rs

31.50. Each sum was

a. Rs 100

b. Rs 500

c. Rs 750

d. Rs 900

e. Rs 950

3. A sum is divided between P and Q in the ratio of 1 :

2. A purchased a car from his part, which depreciates

at the rate of 14 2/7% per annum and Q deposited his

amount in a bank, which pays him 20% interest per

annum compounded annually. By what percent will

the total sum of money increase after two years due to

this investment pattern (approximately)?

a. 20.5%

b.26.66%

c 30%

d. 25%

e. 23%

4. A person lent out two equal amounts at 6% and

24% per annum simple interest each for a period of

18 months. he got total interest of Rs 4704. Which of

these could be the amount that was lent out in each

case if interest is paid half-yearly?

a. Rs 14053

b. Rs 10453

c. Rs 15450

d. Rs 13543

e. Rs 12272

5. A sum of Rs. 725 is lent in the beginning of a year

at a certain rate of interest. After 8 months, a sum of

Rs. 362.50 more is lent but at the rate twice the

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former. At the end of the year, Rs. 33.50 is earned as

interest from both the loans. What was the original

rate of interest?

a. 3.6%

b. 4.5%

c. 5%

d. 6%

e. None of these

6.A sum of Rs 18,750 is left in will by a father to be

divided between two sons, whose present age is 12

and 14 years respectively, such that when they attain

maturity at 18, the amount (Principal + interest)

received by each at 5% S.I. will be the same. Find the

sum allotted at present to each son.

a. Rs 9500, Rs 9250

b. Rs 8000, Rs 1750

c. Rs 9000, Rs 9750

d. Rs 8500, Rs 10250

e. None of these

7. A sum of Rs. 7,700 is to be divided among three

sisters Vidusha, Vimla and Vaishnavi in such a way

that simple interest on each part at 5% per annum

after 1, 2 and 3 years, respectively remains equal. The

share of Vidusha is more than that of Vaishnavi by:

a. Rs. 2,800

b. Rs. 2,500

c. Rs. 3,000

d. Rs. 2,400

e. Rs. 3,200

8. A sum of money is accumulated at compound

interest at a certain rate of interest. If simple interest

instead of compound interest were reckoned, the

interest for the first two years would be diminished

by Rs. 20 and that for the first three years by Rs. 61.

Find the sum.

a. Rs. 7000

b. Rs. 8000

c. Rs. 7500

d. Rs. 6500

e. Rs. 5400

9.The simple interest on certain sum at 5% p.a for 9

months is Rs. 10 greater than the simple interest on

the same sum @ 3% p.a for 14 months. What is the

sum of interest in both the cases (i.e., total sum of

interest)?

a. Rs. 130

b. Rs. 290

c. Rs. 120

d. Rs. 330

e. Rs. 430

10.Hari Lal and Hari Prasad have equal amounts.

Hari Lal invested all his amount at 10% p.a

compounded annually for 2 years and Hari Prasad

invested 1/4th amount at 10% p.a compound interest

(annually) and rest at r% per annum at simple

interest for the same 2 years period. The amount

received by both at the end of 2 year is same. What is

the value of r?








a. 14%

b. 12.5%

c. 10.5%

d. 11%

e. 8.5%

11.Veena has to pay Rs. 2460 to Sita, 5 Months later

at 6% SI per annum, and Gita has to pay Sita same

amount at 7.5% SI per annum after certain months.

If both took the same amount of loan from Sita then

Gita paid loan after how many months?

a. 3 Months

b. 4 Months

c. 6 Months

d. 12 Months

e. Cannot be determined

12.A Woman took a loan of Rs. 15,000 to purchase a

mobile. She promised to make the payment after

three years. The company charges CI at 20% per

annum for the same. But, suddenly the company

announces the rate of interest as 25% per annum for

the last one year of the loan period. What extra

amount she has to pay due to the announcement of

new rate of interest?

a. Rs1230

b. Rs1135

c. Rs1080

d. Rs1100

e. None

13.Nitin invested an amount of Rs. 24000 at the 4%

SI per annum, and another amount at 10% SI per

annum. The total interest earned at the end of one

year will be same as interest earned when the total

amount invested at 6% SI per annum. Find the total

amount invested?

a. Rs.12000

b. Rs.24000

c. Rs.30000

d. Rs.36000

e. None

14.Mosses invested Rs. 20,000 in a scheme at simple

interest @ 15% per annum. After three years he

withdrew the principal amount plus interest and

invested the entire amount in another scheme for two

years, which earned him compound interest @ 12%

per annum. What would be the total interest earned

by Mosses at the end of 5 years?

a. Rs. 16377.6

b. Rs. 10152.3

c. Rs. 11012.14

d. Rs. 12500

e. None

15.P is going to pay Rs.700 to Q, 7 months later at 6%

annual simple interest, Q is going to pay Rs.550 to P,

12 months later at 8% annual simple interest, if they

decide to settle the debts, who will pay what amount

to whom ?

a. P, Rs.149








b. Q,Rs.167

c. P, Rs.155

d. Q, Rs.197

e.None of these

16.Shanthi borrowed Rs.75,000.00 from two banks at

compound interest compound annually. One bank

charges interest at the rate of 15% per year and the

other bank at 20% per year. If at the end of the year,

shanthi paid Rs.12,000.00 as the total interest to the

two banks, how much did she borrow from the

second bank?

a. 18000

b. 20000

c. 15000

d. 19000

e. None

17.Danish invested Rs. X in a scheme offering 12%

simple interest for three years. Reena invested Rs.

(x+3000) in a scheme offering 10% compound

interest for three years. Find the value of x if the

interest earned by Reena is Rs.761 more than the

interest earned by Danish.

a. 6000

b. 8000

c. 7000

d. 4000

e. 5000

18.Pratap lent Rs.21600 to be divided between his two

sons who aged 9 years and 11 years such that both of

them would get an equal amount at certain age when

lent at rate of 10% SI per anuum. If their investments

are in the ratio of 51:57 respectively.Then at what age

both received same amount?

a.15 Years

b.16 years

c.18 years

d.21 years

e.Cannot be determined

19.A father left a will of Rs.5 lakhs between his two

daughters aged 10 and 15 such that they may get

equal amounts when each of them reach the age of 21

years. The original amount of Rs.5 lakhs has been

instructed to be invested at 10% p.a. simple interest.

How much did the elder daughter get at the time of

the will?

a. Rs.2,04,797

b. Rs.3,05,890

c. Rs.1,90,00

d. Rs.4,00,700

e. Rs.2,46,870

20.A and B invested some amounts in schemes

offering simple interest at rate of 8% and 12% per

annum resp. A and B deposited their respective

amounts for 4 years and 2 years resp. and the interest

earned by both of them found to be same. If the

amount invested by A is Rs.7000 less than the amount

invested by B, find the average of the amounts

invested by both of them.








a. Rs.26200

b. Rs.23300

c. Rs.21200

d. Rs.24500

e. Rs.22000

21.Geeta borrowed some money at the rate of 6% p.a

for the first two years, at the rate of 9% p.a for the

next three years, and at the rate of 14% p.a for the

period beyond five years. If she pays a total interest of

Rs.11400 at the end of nine years, how much did she

boorrow?

a. `Rs 10,000

b. Rs 11,000

c. Rs 12,000

d. Rs 14,000

e. None of these

22.Tarun invested an amount of Rs. 10000 at the simple

interest rate of 8% per annum and another amount at the

simple interest rate of 20% per annum. The total interest

earned at the end of one year on the total amount

invested became 12% per annum. Find the total amount

invested.

a. Rs.12,000

b. Rs.15000

c. Rs.5,000

d. Rs.10,000

e. None of these

23.Vikky invested Rs.27,000 partially in a scheme A

offering 13% simple interest and rest in scheme B

offering 10% compound interest compounded

annually. The amount invested in scheme B is how

much percent less/more than the amount invested in

scheme A if the total interest earned by Vikky after

three years is Rs.9822?

a. 24%

b. 30%

c. 50%

d. 10%

e. 20%

24.Jason lends $ 10,000 to David at the simple interest

rate of 10% for 2 years and $ 10,000 to James at the

compound interest rate of 10% for 2 years. Find the

sum of money that David and James will return to

Jason after 2 years to repay the loan. how much will

pay more ?

a. 100

b. 200

c. 300

d. 400

e. 500

25.Out of Rs. 60,000 that Rahul has, he lends Rs.

10,000 at 11/2 % per annum simple interest and Rs.

32,000 at 6% per annum simple interest. He lends the

remaining money at a certain rate of interest so that

he gets total annual interest of Rs. 4000. The rate of

interest per annum, at which the remaining money is

lent, is?

a. 5%








b. 7.5%

c. 8%

d. 8.5%

e. 10%

26.A sum of money at a certain rate per annum of

simple interest doubles in the 5 years and at a

different rate become three times in 12 years. The

lower rate of interest per annum is:

a. 15%

b. 20%

c.15(3/4)%

d. 16(2/3)%

e. None of these

27. Kailash borrowed some money at the rate of 5%

p.a. for the first three years, 8% p.a. for the next five

years and 11% p.a. for the period beyond eight years.

If the total interest paid by him at the end of eleven

years is Rs. 8800, how much money did he borrow?

a. Rs.7500

b. Rs.8000

c. Rs.9600

d. Rs.10,000

e. Rs.7,000

28. Rs. 16820 is divided between two brothers of age

27 years and 25 years. They invested their money at

5% per annum compound interest in such a way that

both will receive equal money at the age of 40 years.

The share (In Rs.) of elder brother is

a. 8280

b. 8410

c. 8820

d. 8000

e. none of these

29.Sachin had ₹ 23,000. He invested some amount in

scheme A at SI at 20% and the remaining amount in

scheme B at CI at 10%. If Sahil got the same amount

from both of them at the end of one year, how much

(in ₹) did he invest in scheme B ?

a. 10000

b. 11000

c. 11500

d. 12000

e. 13000

30.A certain amount of money is lent out at

compound interest at the rate of 20% per annum for

two years, compounded annually. It would give Rs.

482 more if the amount is compounded half yearly.

Find the principle.

a. Rs. 30000

b. Rs. 10000

c. Rs. 15000

d. Rs. 25000

e. None of these

31.A man gave 50% of his savings of Rs 67,280 to his

wife and divided the remaining sum between his two








sons A and B of 14 and 12 years of age respectively.

He divided it in such a way that each of his sons,

when they attain the age of 18 years, would receive

the same amount at 5% compound interest per

annum. The share of B was

a. 16500

b. 15000

c. 15020

d. 16000

e. None of these

32. Aditya and Bhushan invested 10000 each in

scheme A and scheme B respectively for 3 years.

Scheme A offers Simple interest @ 12% per annum

and scheme B offers compound interest @ 10%. After

3 years, who will have larger amount and by how

much?

a. Aditya, 280

b. Bhushan, 280

c. Adiya, 290

d. Bhushan, 290

e. None of these

33.Pankaj borrowed a total amount of Rs.32500 from

his three friends Raj, Akash and Suresh. All of his

friends apply different rates of interest in such a way

that Raj applies 12%, Akash applies 16% and Suresh

applies 18% interest rate respectively and total he

gives Rs.5090 as interest. If the amount that Pankaj

had taken from Raj is 18/25 of the amount taken

from Suresh, then find that what amount Pankaj has

taken from Akash?

a. Rs. 13000

b. Rs. 12000

c. Rs. 11000

d. Rs. 10000

e. None of these

34.Mr. Bede wins Rs. 120000 on Kaun Banega

Crorepati. He has to pay 25% as gift tax to the

government. He places remaining money in fixed

deposit @ 10% compounded annually. However, he

has to pay 20% tax on the interest. How much money

does Mr. Bede has after 4 years?

a. Rs. 122444

b. Rs. 112880

c. Rs. 116440

d. Rs. 118660

e. None of these

35.A person closes his account in an investment

scheme by withdrawing Rs 10000. One year ago, he

had withdrawn Rs 6000. Two years ago he had

withdrawn Rs 5000. Three years ago he had not

withdrawn any money. How much money had he

deposited approximately at the time of opening the

account 4 years ago, if the annual rate of compound

interest is 10%.

a. Rs. 15470

b. Rs. 16680

c. Rs. 14250








d. Rs. 15200

e. None of these

36.Shivani has some amount of money ans she

invested the money in two schemes A and B in the

ratio of 2 : 5 for 2 years, scheme A offers 30% pa

compound interest and scheme B offers 15% pa

Simple interest. Difference between the interest

earned from both the schemes is Rs.1080. How much

was invested in scheme B?

a. Rs. 45000

b. Rs. 36000

c. Rs. 40000

d. Rs. 50000

e. None of these

37.₹ 6100 was partly invested in Scheme A at 10% pa

compound interest (compounded annually) for 2

years and partly in Scheme B at 10% pa simple

interest for 4 years. Both the schemes earn equal

interests. How much was invested in Scheme A ?

a. ₹ 3750

b. ₹ 4500

c. ₹ 4000

d. ₹ 3250

e. ₹ 5000

38.The difference between simple interest and

compound interest on a certain sum of money for 2

years at 5% per annum is ₹ 100. Find the sum.

a. ₹ 42000

b. ₹ 45000

c. ₹ 41500

d. ₹ 40000

e. None of these

39.Sanjana invested Rs. 15000 in SI at the rate of

2x% per annum for two years and the same amount

is invested in CI at the same rate of interest if she

received Rs.150 more interest than S.I, then find the

rate of interest per annum?

a. 10 %

b. 14 %

c. 12 %

d. 16 %

e. None of these

40.If the rate percent increases by 2% the simple

interest increases by Rs.108. If the time period is

increased by two years the simple interest will be

Rs.180 more. Find the principal.

a. 5400

b. 1800

c. 3600

d. None of these

e. Data inadequate.

41.On simple interest, a sum of money becomes Rs.

11,500 in 3 years and Rs. 13,500 in 7 years. How

much money is deposited?

a. Rs. 10,500

b. Rs. 10, 250

c. Rs. 10,000

d. Rs. 9,500








e. None of these

42.Ragu invested Rs.72000 in two different parts one

at 20% SI and another one at 20% CI (Compounded

annually). What is the difference between the amount

invested in SI and CI, if he received total interest at

the end of two years is Rs.30480?

a. 10000

b. 15000

c. 12000

d. 8000

e. 16000

43.Suresh invested Rs.80000 in two different parts

one at the rate of 20% CI per annum and another one

at the rate of 15% SI per annum. If he interchanges

the rate of interest he got Rs.2875 less at the end of

two years, and then find the difference of the two

sums

a. Rs.20000

b. Rs.24000

c. Rs.12560

d. Rs.14500

e. Rs.17500

44.Kamal invested Rs.2400 and Rs.3000, one at the

rate of 10% SI per annum and another at x% SI per

annum respectively. If he interchanges the rate of

interest he got Rs.120 more at the end of two years,

and then find the value of x

a. 12%

b. 24%

c. 20%

d. 10%

e. 30%

45.Priya invested Rs. x in SI at the rate of 20% per

annum for two years and the same amount is invested

in CI at the same rate of interest if she received

Rs.860 more interest as compared to S.I, then find the

value of x.

a. Rs.21500

b. Rs.12500

c. Rs.22500

d. Rs.25800

e. None of these

46.Mukesh invested Rs.30000 in two different parts

one at 15% SI and another one at 20% CI. At the end

of two year he received total interest Rs.10750 then

find the amount invested in SI?

a. Rs.12500

b. Rs.15500

c. Rs.21500

d. Rs.17500

e. Rs.18500

47.Akhilan invested some amount in SI at the rate of

x% per annum for 2 years and Mathi also invested

some amount at the rate of 20% CI per annum for 3

years and he received total interest Rs.2275. Find the

value of x if Mathi invested Rs.625 less than Akilan

and interest received is Rs.25 more than Akhilan

a. 20%








b.25%

c. 24%

d. 12%

e. 30%

48. A person invested sum of the amount at the rate

of 15% SI per annum for two years and received total

amount of Rs.19500. He invested same sum at the rate

x% per annum compounded annually for two years

and he received interest Rs.2100 more as compared to

the Simple Interest, then find the value of ‘x’

a. 10%

b. 15%

c. 12%

d. 20%

e. 24%

49.The difference between the compound and simple

interest on a certain sum at 12% per annum for two

years is Rs. 90. What will be the value of the amount

at the end of 3 years if compounded annually?

a. 7780.80

b. 8770.80

c. 8787.80

d. 8888.80

e. 8780.80

50.The difference between compound interest and

simple interest on a sum for two years at 8% per

annum, where the interest is compounded annually is

Rs.16. if the interest were compounded half yearly ,

the difference in two interests would be nearly?

a. Rs.24.64

b. Rs.21.85

c. Rs.16

d. Rs.16.80

e. None of these








Answer Key with Detailed Solution

1. B

2. D

3. A

4. B








5. E

6. C

7. A








8. B

9. B

10. C








11. B

2460= p+p*6*5/12*100

p = 2400

Now Gita

2460 = 2400+2400*7.5*x/12*100

x = 4

12. C

15,000 *(1+20/100)2[ (1+25/100) – (1+20/100)]

15,000*120/100*120/100 [125/100-120/100]

15000*144/100(5/100)

150*144*5/100=1080

13. D

24000*4/100 = 960

x*10/100 = 0.1x

960+0.1x = (24000+x)*6/100

x =12000

Total = 24,000+12,000 = 36,000

14. A

SI= 20,000*15*3/100=9000

Amount=20,000+9000=29,000

Now CI= 29,000*(1+12/100)2 = 29,000 * 26/25 * 26/25

= 36,377.6

A-P=36, 377.6-29000=7377.6

After 5yrs 7377.6+9000=16,377.6

15. B

For P:

P+ (p*6*7/12*100) = 700

1200p+42P = 700*1200

P = 676.33

For Q:

P+ (p*8*12/12*100) = 550

1200P+96P = 550*1200

P =509.26

Q =676-509 = 167

16. C

P*(1+r/100)=A

12000/75000*100=16%

15…………….20

…………16

Ratio 4:1

Total 5 == 75000

1 ? == Rs15000.

17. B

Interest earned by Danish = x*0.12*3 = Rs.0.36x

Interest earned by Reena = (x+3000){(1+0.10)^3 -1} =

Rs.(0.331x + 993)

Now, 0.331x + 993 – 0.36 = 761

=> x = 8000








18. C

x+y = 21600

x/y = 51/57

x = 10200 y = 11400

10200+10200*10*(x-9)/100 = 11400+11400*10*(x-

11)/100

x = 18

19. A

Let Rs.x be the amount that the elder daughter got at the

time of the will. Therefore, the younger daughter got

(5,00,000 – x).

The elder daughter’s money earns interest for (21 – 15) =

6 years @ 10% p.a simple interest

The younger daughter’s money earns interest for (21 –

10) = 11 years @ 10% p.a simple interest.

As the sum of money that each of the daughters get when

they are 21 is the same,

x + (6*10*x/100)= (5,00,000 – x) +(11*10*[5,00,000-

x]/100)

100x+60x = (5,00,000-x)+(55,000,000-110x)

160x =55,500,000-111x

271x = 55,500,000

X = 2,04,797

20. D

Let the amount invested by B be x.

The amount invested by A be (x-7000)

Now, x*12%*2 = (x-7000)*8%*4

=> x = 28000

Required average = (28000+21000)/2 = Rs.24500

21. C

Let the sum borrowed be x. then,

( x × 6 × 2

) + ( x × 9 × 3

) + ( x × 14 × 4

) = 11400. 100 100 100

⇒ ( 3x

+ 27x

+ 14x

) = 11400 ⇔ 95x

= 11400. 25 100 25 100

⇒ ( 11400 × 100 ) ⇒ 12,000.

22. B

SI1= 10000*8*1/100 = 800

SI2 = x*20*1/100 = x/5

800+(x/5) = (10000+x)*12*1/100

80000+20x = 1,20,000+12x

8x = 40,000

X = 5000

Total= 10000+5000 = 15000

23. B

Let the amount invested by him in scheme A be x.

The amount invested by him in scheme B = 27000 – x

Interest earned from A = x*0.13*3 = Rs. 0.39x

Interest earned from B = (27000 – x)*{(1+0.10)^3 – 1} =

Rs.8937 – 0.331x

Now, 0.39x +8937- 0.331x = 9822

=> x = 15000

Required% = (15000 – 12000)/15000*100 = 20%

24.A

For David:








Principal (P) = $ 10000

Rate of Interest (R) = 10%

Time (T) = 2 Years

Therefore, interest = I = P×R×T100

= 10000×10×2100

= $ 2000.

Therefore, amount A = P + I = $ 10000 + $ 2000 = $

12000

Therefore David will repay $ 12,000 to Jason after 2

years.

For James:

Principal (P) = $ 10000

Rate of Interest (R) = 10%

Time (n) = 2 Years

A = $ 10000 × (1+10/100)2(1+10/100)2

= $ 10000 × (110/100)2(110/100)2

= $ 10000 × (11/10)2(11/10)2

= $ 100 × 121

= $ 12100

Therefore, James will repay $ 12,100.

Now, $ 12100 > $ 12000, so, James will pay more. He

will pay $ 12100 - $ 12000, i.e., $ 100 more than David.

25. D

Total Amount = 60000

Amount divided into three parts – x, y, z

x = 10000, T = 1 yr

SI(x) = (10000 * 11/2)/100 = 550

y = 32000 R = 6%

SI(y) = (32000 * 6)/100 = 1920

Total Interest = 4000, Interest on the remaining amount =

4000 – 550 – 1920 = 1530

z = 60000 – 32000 – 10000 = 18000

R = (1530 * 100) /18000 = 8.5%

26. D

Rate = SI × 100

Principal × Time

= 2P × 100

= 50

= 16 2

% P × 12 3 3

27. D

(x*5*3/100) + (x*8*5/100)+ (x*11*3/100 ) = 8800

15x/100 +40x/100 + 33x/100 = 8800

88x = 880000

X = 10000

28. C

Let the share of elder brother = x

Share of younger = 16820 – x

A = P (1 + R/100)T

According to question,

x(1+5/100)13 = (16820 - x) (1 + 5/100)15

x = (16820 - x) (1 + 1/20)2

x = (16820 - x) (21/20)2








(20/21)2x = 16820 – x

(400/441)*x + x = 16820

841x = 16820 * 441

x = 8820

29. D

Let the amount invested in scheme B is ₹ x.

∴ Amount invested in scheme A be ₹ (23000 – x).

According to the question,

(23000 – x)

+

(23000 – x) × 20

× 1 = x +

x ( 1

+

10

)

1 –

x 100

10

0

⇒ (23000 – x)

×

6 =

11

x

5 10

⇒ 11x = 276000 – 12x

⇒ 23x = 276000

⇒ x = 12000

30. E

When compounded annually, the amount received at the

end of the period is

A =

P [ 1

+

r

]

n

10

0

When compounded half yearly, the amount received at

the end of the period is

A =

P [ 1

+ r/2 ]

2

n

10

0

Let the principle be P.

Interest on this amount when compounded annually at

the rate of 20% per annum = P [(1.20)2 − 1]

Interest on this amount when compounded half yearly =

P [(1.10)4 − 1]

The difference between the two is Rs. 482

∴ P [(1.10)4 − 1] – P [(1.20)2 −1] = 482

∴ P [1.4641 – 1.44] = 482

∴ P = Rs. 20,000

31. D

Total Income = 67,280

After giving 50% salary to his wife the man is left with

an amount = 33,640

Let's assume the man gave Rs. x to A. Therefore B will

get Rs. (33640 – x).

↙

3364

0

↘

14 years

A

12 years B

x (33640 –

x)

Now, as per the question A & B will be getting an equal

amount with CI at 5% rate per year at the 18th year.

⇒ ( 1 5 ) 4 = (33640 – [ 1+ 5 ] 6








x + 10

0 x) 10

0

⇒

x

(33640 –

x)

=

( 1

+

5

)

6

10

0

( 1

+

5

)

4

10

0

⇒

x =

(

2

1 ×

2

1 )

(33640 –

x)

2

0

2

0

⇒ 400 x = 33640 × 441 – 441x

⇒ 841x = 33640 × 441

x

=

33640 ×

441 = 40 × 441 =

17640/- 841

Therefore, at the time of divison of money, B would have got a sum = (33640 – 17640) =

Rs. 16000

32. C

Lets first calculate the total rate % that Aditya will have

after 3 years:

As per the question Aditya invested at rate of 12% pa

simple interst

So, for 3 years tenure he will get = 12 × 3 = 36%

And the amount that Bhushan invested at rate of 10% pa

compound interest

By net% effect formula, we can calculate the total

perecntage for 3 years tenure = 33.1% (sub details)

So, the difference between SI and CI = 36% – 33.1% =

2.9% (SI is more)

Here Aditya will get, 2.9% of 10000 = 290

So Aditya will have Rs. 290 more than Bhushan.

Sub-details:-

Net% effect = x + y = xy

% 100

For the first 2 years: Here, x = y = 10%

= 10 + 10 = 10 × 10

= 21% 100

And for the next year: Here x = 21% and y = 10%

= 21 + 10 = 21 × 10

= 33.1% 100








33. C

Let the amount taken from Suresh is x and amount taken from

Raj =

18

x

25

Amount taken from Akash = 32500 –

x –

18

x = 32500

–

43

x

25 25

Total interest he gives -

(

18

x ) ×

12

( 32500

–

43

x ) ×

16

⇒

25 +

25 +

x ×

18 = 5090

(Given) 100 100 100

216x – 688x + 450x = 12725000 – 13000000

22x = 275000

x = 12500

Amount taken from Akash

= 32500 – 43

×

1250

0 = 32500 – 21500 =

Rs.11000 25

34. A

Bede has Rs 90000 with him after paying 25% as gift

tax.

Amount

Invested Interest Tax

Year 1 90000 9000 1800

Year 2 97200 9720 1944

Year 3 104976 10497.60 2099.52

Year 4 113374.08 11337.408 2267.4816

So, Bede has Rs. (113374.08 + 11337.408 – 2267.4816)

= Rs. 122444 at the end of 4th year.

35. A

Suppose the person has deposited Rs. X at the time of

opening account.

After one year, he had

Rs

. ( x

+

x × 10 ×

1 ) =

Rs.

11

x

100 10

After two years, he had

Rs

. (

11

x +

11

x ×

10 ×

1 ) =

121

x

10 10 100 100

After withdrawing Rs 5000 from

Rs.

121

x , the

balance 100








=

Rs.

121x –

500000

100

After 3 years, he had

121x –

500000 +

121x –

500000 ×

10 ×

1

100 100 100

=

11(121x –

500000)

1000

After withdrawing 6000 from above, the balance

=

Rs. (

1331

x –

11500 )

1000

After 4 years, he had

Rs

.

1

1

(

1331

x –

11500

)

– 10000 =

0 1

0 1000

⇒ Rs 15470

36. A

Let the amount invested in scheme A is 2 × 50 = 100, the

amount invested in scheme B is 5 × 50 = 250

Interest from scheme A =

100 × ( 1

+

30

)

2

10

0

= 169 – 100 = Rs.69

Interest from scheme B = 250 × 15% × 2

= Rs.75

Difference between interest = 75 – 69 = Rs.6

If the difference is Rs.6., investment in scheme B =

Rs.250

so the difference is Rs.1080 .,

investment in scheme B

=Rs.

25

0 × 1080. =

Rs.45000 6

37. C

Let the amount invested in Scheme A is ₹ x.

Then, the amount invested in Scheme B be ₹ (6100 – x)








Now, according to the question,

x ( 1

+

10

)

2 – x

=

(6100 – x) × 10 ×

4

10

0 100

⇒

x (

12

1 –

1 ) =

(6100 – x) ×

40

10

0 100

⇒

21

x =

(6100 – x) ×

40

10

0 100

⇒ 21x = 6100 × 40 – 40x

⇒ 61x = 6100 × 40

⇒ x

=

6100 ×

40 = ₹

4000 61

∴ The amount invested in Scheme A is ₹ 4000.

38. D

We can solve it by the net% formula,

Rate % of SI for 2 yr at 5% pa = 5 × 2 = 10%

Rate % of CI for 2 yr at 5%,

5 + 5

+

5 ×

5 =

10.25%

100

% rate difference of CI and SI = 10.25% – 10% = 0.25%

Let the sum be ₹ x, then

0.25% of x = 100

x

=

100 ×

100 = ₹

40000 0.25

39. A

C.I – S.I = 150

15000[(1 + (2x/100))2 – 1] – (15000*2x*2)/100 = 150

15000[((100 + 2x)/100)2 – 1] – 600x = 150

15000*[(10000 + 400x + 4x2 – 10000)/10000] – 600x =

150

15000*[(400x + 4x2)/10000] – 600x = 150

(60000/10000)*[100x + x2] – 600x = 150

600x +6x2 – 600x = 150








6x2 = 150

X2 = 25

X = 5

The rate of interest per annum = 2x % = 10 % per annum

40. E

41. C

Amount = P + S.I

11500 = P + S.I on 3 yrs —— (1)

13500 = P + S.I on 7 yrs —— (2)

Solve (1) and (2), we get,

S.I on 7-3 = 4 yrs = 13500 – 11500 = 2000

Hence, S.I on 1 yr = 2000 /4 = 500

∴ S.I on 3 yrs = 500 × 3 = 1500 —— (3)

Substitute (3) in (1) we get,

11500 = P + 1500

∴ P = 11500 – 1500 = 10,000

42. C

Let us take one part x and another part 72000-x

Total interest = x*40/100 + (72000-x)*44/100=30480

10x+72000*11-11x=30480*25

X=30000

Required difference = 42000-30000=12000

43. A

Let us take one part as x and another part as 80000-x

Given,

(44/100*x+(80000-x)*30/100)-(x*32.25/100+(80000-

x)*40/100)=2875

14x+7.75x-940000=-287500

21.75x=652500

X=30000

Required difference = (80000-30000)-30000=20000

44. C








(3000*2x/100+2400*20/100)-

(3000*20/100+2400*2x/100)=120

(60x+480)-(600+48x)=120

12x=240=>x=20%

45. A

Given,

x*20/100*2+860=x((1+20/100)2-1)

44/100*x-40/100*x=860

4x/100=860=>x=21500

46. D

Given,

(30000-x)*30/100+x*44/100=10750

900000-30x+44x=1075000

14x=175000=>x=12500

Required sum = 30000-12500=17500

47. E

Let us take Mathi’s sum be y

2275=Y ((1+20/100)3-1)

2275*125/91=Y

=>Y=3125

Akhilan’s investment and interest are 3750 and 2250

3750*x*2/100=2250

=>x=30%

48. D

Let us take sum be y

Given,

130/100*y=19500

=>y=15000

S.I = 15000*(15/100)*2 =4500

C.I = 4500+2100 =6600

Total amount= 15000+6600 = 21600

15000(1+x/100)2=21600

(1+x/100)2=(6/5)2

1+x/100=6/5x/100=1/5=>x=20%

49.E

Difference = P(R)²/100²

90 = P(12)²/(100)²

90 x 100²/12² = P

P = Rs. 6250

Now, calculating the compound interest on Rs. 6250 will

be,

A = 6250(1 + 12/100)³

A = 6250(112/100)³ => 6250(1.12)³ => Rs. 8780.80

So, the compounded amount after three years will be Rs.

8780.80

50. A

For 1st year S.I =C.I.

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is

thus Rs.200

i.e S.I on the principal for 1 year is Rs.200

Principle = Rs.100*2008*1 = Rs.2500

Amount for 2 years, compounded half-yearly

Rs.2500*1+41004=Rs.2924.4

C.I = Rs.424.64

Also, S.I=Rs.2500*8*2100=Rs.400

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64




Quantitative Aptitude | SI & CI Problems (Hard Level Part-1)

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Transcript of Quantitative Aptitude | SI & CI Problems (Hard Level Part-1)