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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?
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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
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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.
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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%
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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
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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
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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
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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%
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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
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Answer Key with Detailed Solution
1. B
2. D
3. A
4. B
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5. E
6. C
7. A
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8. B
9. B
10. C
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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
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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:
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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
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(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
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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
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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
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=
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)
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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
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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
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(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
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