336 + Mcqs in Compound Interest Page 4 McqOptions

151.	The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 . The simple interest on the same sum for double the time at half the rate percent per annum is :
A.	Rs. 520
B.	Rs. 550
C.	Rs. 500
D.	Rs. 515
Answer» D. Rs. 515

Discussion

152.	A certain amount grows at an annual interest rate of 12%, compounded monthly. Which of the following equations can be solved to find the number of years, y, that it would take for the investment to increase by a factor of 64 ?
A.	64 = (1.01)
B.	<sup>12y</sup>
C.	<table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">= (1.04)12y</td></tr><tr><td style="text-align: center;">64</td></tr></table>
D.	64 = (1.04)12y
E.	8 = (1.01)6y
Answer» B. <sup>12y</sup>

Discussion

153.	In what time will 15625 amount to 17576 at 4% per annum, compounded yearly?
A.	4 years
B.	2.5 years
C.	3 years
D.	3.5 years
Answer» D. 3.5 years

Discussion

154.	Find the ratio of simple interest to compound interest for 2 years at 4% per annum, compounded yearly in case of compound interest.
A.	50 : 53
B.	50 : 51
C.	49 : 50
D.	48 : 53
Answer» C. 49 : 50

Discussion

155.	Find the present worth of 9261 due 3 years hence at 5% per annum compounded yearly.
A.	8000
B.	8200
C.	8500
D.	8700
Answer» B. 8200

Discussion

156.	Find compound interest on 10,000 for 31 years at 10% per annum,2
A.	3675.50
B.	3775.50
C.	3875. 50
D.	3975.50
Answer» E.

Discussion

157.	Find compound interest on 5000 for 2 years at 10% per annum, compounded half-yearly.
A.	1077.5
B.	1072.5
C.	1000
D.	1100
Answer» B. 1072.5

Discussion

158.	If the difference between CI and SI on a certain sum at r% per annum for 3 years is Rs x, find the expression for the principal sum. If the difference between CI and SI on a certain sum at 4% for 3 years is Rs. 608. Find the sum.
A.	125000
B.	120000
C.	130000
D.	122250
Answer» B. 120000

Discussion

159.	If the difference between CI and SI on a certain sum at r% per annum for 2 years is x, find the expression for principal sum. If the difference between CI and SI on a certain sum at 4% per annum for 2 years is 25, find the sum.
A.	18625
B.	16625
C.	14625
D.	15625
Answer» E.

Discussion

160.	The compound interest on a sum of money at 5% per annum for 3 years is 2522. What would be the simple interest on this sum at the same rate and for the same period ?
A.	2500
B.	2400
C.	2450
D.	2350
Answer» C. 2450

Discussion

161.	The simple interest on a certain sum for 2 years is 50 and the compound interest is 55. Find the rate of interest per annum and the sum.
A.	16% P.a. ; 200
B.	15% P.a. ; 150
C.	20% P.a. ; 125
D.	18% P.a. ; 175
Answer» D. 18% P.a. ; 175

Discussion

162.	If SI on a certain sum of money at 4% per annum for 2 years be 125, what would be the interest if it was to be compounded annually at the same rate and for the same time period?
A.	127.50
B.	125.50
C.	135.50
D.	138
Answer» B. 125.50

Discussion

163.	A sum of money is paid back in two annual instalments of Rs. 17, 640 each, allowing 5% compound interest compounded annually. The sum borrowed was
A.	Rs. 32,800
B.	Rs. 32,200
C.	Rs. 32,000
D.	Rs. 32,400
Answer» B. Rs. 32,200

Discussion

164.	A man gave 50% of his savings of 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 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.	20,000
B.	20,050
C.	22,000
D.	22,050
Answer» B. 20,050

Discussion

165.	What does 250 amounts to in 2 years with compound interest at the rate of 4% in the 1st year and 8% in the second year ?
A.	280
B.	280.80
C.	468
D.	290.80
Answer» C. 468

Discussion

166.	Sita deposited 5,000 at 10% simple interest for 2 years. How much more money will Sita have in her account at the end of two years, if it is compounded semiannually.
A.	50
B.	40
C.	77.50
D.	85.50
Answer» D. 85.50

Discussion

167.	On a certain principal if the simple interest for two years is Rs. 1400 and compound interest for the two years is Rs. 1449, what is the rate of interest?
A.	7 percent
B.	3.5 percent
C.	14 percent
D.	10.5 percent
Answer» B. 3.5 percent

Discussion

168.	The amount on Rs. 25,000 in 2 years at annual compound interest, if the rates for the successive years be 4% and 5% per annum respectively is :
A.	Rs. 30,000
B.	Rs. 26,800
C.	Rs. 27,300
D.	Rs. 28,500
Answer» D. Rs. 28,500

Discussion

169.	If the difference between simple and compound interest on some principal amount at 20% per annum for three years is 48, then the principal amount is:
A.	450
B.	375
C.	390
D.	None of these
Answer» C. 390

Discussion

170.	B borrows 5,000 from A at 6% p.a. simple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is
A.	1,050
B.	500
C.	450
D.	600
Answer» D. 600

Discussion

171.	The sum of money which when given on compound interest at 18% per annum would fetch Rs. 960 more when the interest is payable half yearly than when it was payable annually for 2 years is :
A.	Rs.60,000
B.	Rs. 30,000
C.	Rs. 40,000
D.	Rs. 50,000
Answer» E.

Discussion

172.	A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times of itself at the same rate of interest in
A.	20 years
B.	10 years
C.	12 years
D.	15 years
Answer» E.

Discussion

173.	A sum amounts to 9680 in 2 years and to 10648 in 3 years compounded annually. Find the principal and the rate of interest per annum.
A.	12% ; 7500
B.	10% ; 8000
C.	11% : 11000
D.	None of these
Answer» C. 11% : 11000

Discussion

174.	Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 4 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram s share is
A.	Rs. 125000
B.	Rs. 135200
C.	Rs. 152000
D.	Rs. 108200
Answer» C. Rs. 152000

Discussion

175.	A man borrowed some money and agreed to pay-off by paying Rs. 3150 at the end of the 1st year and Rs. 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is
A.	Rs. 5000
B.	Rs. 6500
C.	Rs. 7000
D.	Rs. 9200
Answer» D. Rs. 9200

Discussion

176.	Ram invests 5000 in a bond which gives interest at 4% per annum during the first year, 5% during the second year and 10% during the third year. How much does he get at the end of third year ?
A.	7000
B.	5006
C.	6006
D.	5506
Answer» D. 5506

Discussion

177.	A sum of money was lent at 10% per annum, compounded annually, for 2 years. If the interest was compounded half-yearly, he would have received 220.25 more. Find the sum.
A.	40000
B.	45000
C.	48000
D.	50000
Answer» B. 45000

Discussion

178.	A sum of 1682 is to be divided between A and B who are respectively 20 years and 22 years old. They invest their shares at 5% per annum, compounded annually. At the age of 25 years both receive equal amounts. Find the share of each.
A.	730 ; 952
B.	750 ; 932
C.	700 ; 982
D.	800 ; 882
Answer» E.

Discussion

179.	Divide 10230 into two parts such that the first part after 10 years is equal to the second part after 7 years, compound interest being 20% per annum compounded yearly.
A.	4150 ; 6080
B.	3950 ; 6280
C.	3750 ; 6480
D.	3550 ; 6680
Answer» D. 3550 ; 6680

Discussion

180.	On a certain sum of money, the simple interest for 2 years is Rs. 350 at the rate of 4% per annum. It was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned?
A.	Rs. 3.50
B.	Rs. 7
C.	Rs. 14
D.	Rs. 35
Answer» C. Rs. 14

Discussion

181.	A sum of 13,360 was borrowed at 83% per annum compound interest4
A.	5,769
B.	7,569
C.	7,009
D.	7,500
Answer» C. 7,009

Discussion

182.	A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way, he gains 104.50 a year. The amount of money he borrows, is
A.	6,000
B.	5,500
C.	5,000
D.	4,500
Answer» D. 4,500

Discussion

183.	A person deposited a sum of 6,000 in a bank at 5% per annum simple interest. Another
A.	230
B.	232
C.	832
D.	600
Answer» C. 832

Discussion

184.	The income of a company increases 20% per year. If the income is Rs. 26,64,000 in the year
A.	Rs. 28,55,000
B.	Rs. 18,50,000
C.	Rs. 28,20,000
D.	Rs. 21,20,000
Answer» C. Rs. 28,20,000

Discussion

185.	Mr. Dutta desired to deposit his retirement benefit of Rs. 3 lacs partly to a post office and partly to a bank at 10% and 6% interests respectively. If his monthly interest income was Rs. 2000, then the difference of his deposits in the post office and in the bank was :
A.	Rs. 50,000
B.	Rs. 40,000
C.	Nil
D.	Rs.1,00,000
Answer» D. Rs.1,00,000

Discussion

186.	Find the rate percent per annum, if Rs. 2000 amounts to Rs. 2,315.25 in a year and a half,
A.	11.5%
B.	10%
C.	5%
D.	20%
Answer» C. 5%

Discussion

187.	A sum of money doubles itself in 4 years at compound interest. It will amount to 8 times itself at the same rate of interest in :
A.	18 years
B.	12 years
C.	16 years
D.	24 years
Answer» C. 16 years

Discussion

188.	A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest ?
A.	15 years
B.	20 years
C.	24 years
D.	40 years
Answer» C. 24 years

Discussion

189.	A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?
A.	6 years
B.	4 years
C.	8 years
D.	5 years
Answer» C. 8 years

Discussion

190.	A sum of money becomes double in 3 years at compound interest compounded annually. At the same rate, in how many years will it become four times of itself ?
A.	4 years
B.	6 years
C.	6.4 years
D.	7.5 years
Answer» C. 6.4 years

Discussion

191.	A sum of 12,000, deposited at compound interest becomes double after 5 years. How much will it be after 20 years ?
A.	1,44,000
B.	1,20,000
C.	1,50,000
D.	1,92,000
Answer» E.

Discussion

192.	A sum of money at compound interest doubles itself in 15 years. It will become eight times of itself in
A.	45 years
B.	48 years
C.	54 years
D.	60 years
Answer» B. 48 years

Discussion

193.	On what sum of money will the difference between simple interest and compound interest for 2 years at 5% per annum be equal to Rs. 63?
A.	Rs. 24,600
B.	Rs. 24,800
C.	Rs. 25,200
D.	Rs. 25,500
Answer» D. Rs. 25,500

Discussion

194.	If the amount is 2.25 times of the sum after 2 years at compound interest (compound annually), the rate of interest per annum is :
A.	25%
B.	30%
C.	45%
D.	50%
Answer» E.

Discussion

195.	If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is :
A.	Rs. 2000
B.	Rs. 4000
C.	Rs. 6000
D.	Rs. 8000
Answer» E.

Discussion

196.	On what sum of money will the difference between S.I and C.I for 2 years at 5% per annum be equal to 25 ?
A.	10,000
B.	10,500
C.	9,500
D.	9000
Answer» B. 10,500

Discussion

197.	The difference between the compound interest and simple interest for the amount 5,000 in 2 years is 32. The rate of interest is
A.	5%
B.	8%
C.	10%
D.	12%
Answer» C. 10%

Discussion

198.	The difference between the simple interest and compound interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is :
A.	Rs. 684.32
B.	Rs. 788.48
C.	Rs. 784.58
D.	Rs. 4000
Answer» C. Rs. 784.58

Discussion

199.	The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. The rate of interest per annum is
A.	6%
B.	7%
C.	8%
D.	9%
Answer» D. 9%

Discussion

200.	The difference between simple and compound interest compounded annually, on a certain sum of money for 2 years at 4% per annum is 1. The sum (in ) is :
A.	650
B.	630
C.	625
D.	640
Answer» D. 640

Discussion

Explore topic-wise MCQs in Aptitude.

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 . The simple interest on the same sum for double the time at half the rate percent per annum is :

A certain amount grows at an annual interest rate of 12%, compounded monthly. Which of the following equations can be solved to find the number of years, y, that it would take for the investment to increase by a factor of 64 ?

In what time will 15625 amount to 17576 at 4% per annum, compounded yearly?

Find the ratio of simple interest to compound interest for 2 years at 4% per annum, compounded yearly in case of compound interest.

Find the present worth of 9261 due 3 years hence at 5% per annum compounded yearly.

Find compound interest on 10,000 for 31 years at 10% per annum,2

Find compound interest on 5000 for 2 years at 10% per annum, compounded half-yearly.

If the difference between CI and SI on a certain sum at r% per annum for 3 years is Rs x, find the expression for the principal sum. If the difference between CI and SI on a certain sum at 4% for 3 years is Rs. 608. Find the sum.

If the difference between CI and SI on a certain sum at r% per annum for 2 years is x, find the expression for principal sum. If the difference between CI and SI on a certain sum at 4% per annum for 2 years is 25, find the sum.

The compound interest on a sum of money at 5% per annum for 3 years is 2522. What would be the simple interest on this sum at the same rate and for the same period ?

The simple interest on a certain sum for 2 years is 50 and the compound interest is 55. Find the rate of interest per annum and the sum.

If SI on a certain sum of money at 4% per annum for 2 years be 125, what would be the interest if it was to be compounded annually at the same rate and for the same time period?

A sum of money is paid back in two annual instalments of Rs. 17, 640 each, allowing 5% compound interest compounded annually. The sum borrowed was

What does 250 amounts to in 2 years with compound interest at the rate of 4% in the 1st year and 8% in the second year ?

Sita deposited 5,000 at 10% simple interest for 2 years. How much more money will Sita have in her account at the end of two years, if it is compounded semiannually.

On a certain principal if the simple interest for two years is Rs. 1400 and compound interest for the two years is Rs. 1449, what is the rate of interest?

The amount on Rs. 25,000 in 2 years at annual compound interest, if the rates for the successive years be 4% and 5% per annum respectively is :

If the difference between simple and compound interest on some principal amount at 20% per annum for three years is 48, then the principal amount is:

B borrows 5,000 from A at 6% p.a. simple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is

The sum of money which when given on compound interest at 18% per annum would fetch Rs. 960 more when the interest is payable half yearly than when it was payable annually for 2 years is :

A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times of itself at the same rate of interest in

A sum amounts to 9680 in 2 years and to 10648 in 3 years compounded annually. Find the principal and the rate of interest per annum.

Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 4 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram s share is

A man borrowed some money and agreed to pay-off by paying Rs. 3150 at the end of the 1st year and Rs. 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is

Ram invests 5000 in a bond which gives interest at 4% per annum during the first year, 5% during the second year and 10% during the third year. How much does he get at the end of third year ?

A sum of money was lent at 10% per annum, compounded annually, for 2 years. If the interest was compounded half-yearly, he would have received 220.25 more. Find the sum.

A sum of 1682 is to be divided between A and B who are respectively 20 years and 22 years old. They invest their shares at 5% per annum, compounded annually. At the age of 25 years both receive equal amounts. Find the share of each.

Divide 10230 into two parts such that the first part after 10 years is equal to the second part after 7 years, compound interest being 20% per annum compounded yearly.

On a certain sum of money, the simple interest for 2 years is Rs. 350 at the rate of 4% per annum. It was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned?

A sum of 13,360 was borrowed at 83% per annum compound interest4

A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way, he gains 104.50 a year. The amount of money he borrows, is

A person deposited a sum of 6,000 in a bank at 5% per annum simple interest. Another

The income of a company increases 20% per year. If the income is Rs. 26,64,000 in the year

Mr. Dutta desired to deposit his retirement benefit of Rs. 3 lacs partly to a post office and partly to a bank at 10% and 6% interests respectively. If his monthly interest income was Rs. 2000, then the difference of his deposits in the post office and in the bank was :

Find the rate percent per annum, if Rs. 2000 amounts to Rs. 2,315.25 in a year and a half,

A sum of money doubles itself in 4 years at compound interest. It will amount to 8 times itself at the same rate of interest in :

A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest ?

A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the same amount at the same compound rate become sixteen times?

A sum of money becomes double in 3 years at compound interest compounded annually. At the same rate, in how many years will it become four times of itself ?

A sum of 12,000, deposited at compound interest becomes double after 5 years. How much will it be after 20 years ?

A sum of money at compound interest doubles itself in 15 years. It will become eight times of itself in

On what sum of money will the difference between simple interest and compound interest for 2 years at 5% per annum be equal to Rs. 63?

If the amount is 2.25 times of the sum after 2 years at compound interest (compound annually), the rate of interest per annum is :

If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is :

On what sum of money will the difference between S.I and C.I for 2 years at 5% per annum be equal to 25 ?

The difference between the compound interest and simple interest for the amount 5,000 in 2 years is 32. The rate of interest is

The difference between the simple interest and compound interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is :

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. The rate of interest per annum is

The difference between simple and compound interest compounded annually, on a certain sum of money for 2 years at 4% per annum is 1. The sum (in ) is :