**Simple interest**

**(Set – 5,6,7)**

38) Find the compound interest on Rs.5000 at 20% per annum after ( / )years; the interest being

compounded half yearly.

a) Rs. 1352.5 b) Rs. 1264.5 c) Rs. 1425.5 d) Rs. 1520.5 e) None of these

39) What is the difference between the compound interests on Rs. 5000 for 11⁄2 years at 4% per

annum compounded yearly and half-yearly?

a) Rs. 3.12 b) Rs. 3.20 c) Rs. 2.04 d) Rs. 4.80 e) None of these

40) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs.

1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have

gained by way of interest is:

a) Rs. 131 b) Rs. 121 c) Rs. 120 d) Rs. 150 e) None of these

41) Find the compound interest on Rs.2000 at 20% pa after 9 months; the interest being compounded

quarterly?

a) Rs. 315.25 b) Rs. 321.25 c) Rs. 320.25 d) Rs. 350.50 e) None of these

42) If a sum deposited at compound interest double in 4 years, when will it be 4 times at the same

rate of interest?

a) 9 years b) 8 years c) 6 years d) 10 years e) None of these

43) A sum of money placed at compound interest doubles itself in 4 years. In how many years will it

amount to 8 times?

a) 9 years b) 8 years c) 12 years d) 10 years e) None of these

44) A sum of money placed at compound interest thrice itself in 3 years. In how many years will it

amount to 9 times?

a) 9 years b) 8 years c) 12 years d) 10 years e) None of these

45) Mona took a loan of Rs. 5 lakhs for her 4 years course of B Tech. The rate of interest is such that

she would be charged 10% per annum at Compound Interest during her course and 12% Cl after

the completion of course. She returned half of the amount which had to be paid on the completion

of her studies and the remaining after 2 years. What is the total amount returned by Mona

(approximately)?

a) Rs. 7.73 lakhs. b) Rs. 8.25 lakhs c) Rs. 11.91 lakhs

d) Rs. 13 lakhs e) None of these

Simple interest

(Set – 5,6,7)

46) Vikram 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

47) If the rate increases by 2%, the simple interest received on a sum of money increases by Rs.

108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.

180.The sum is :

(a) Rs. 1800 (b) Rs. 3600 (c) Rs. 5400 (d) Data inadequate (e) None of these

48) Two equal sums of money were invested-one at 4 1/2% 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

49) Arun invested a sum of money at a certain rate of simple interest for a period of 4 yrs. The total

interest earned by him would have been 50% more than the earlier interest amount when invested

for 6 years. What was the rate of interest per cent per annum ?

(a) 4 (b) 8 (c) 5 (d) Can’t be determined (e) None of these

50) Three persons X, Y and Z invested different amounts in a fixed deposit scheme for one year at

the rate of 12% per annum and earned a total interest of Rs. 3,240 at the end of the year. If the

amount invested by Y is Rs. 5000 more than the amount invested by X and the invested by Z is Rs.

2000 more than the amount invested by Y, what is the amount invested by Y ?

(a) Rs. 12,000 (b) Rs.10,000 (c) Rs. 7000 (d) Rs. 5000 (e) None of these

51) Rajesh gave Rs. 1200 on loan. Some amount he gave at 4% per annum on simple interest and

remaining at 5% per annum on simple interest. After two years, he got Rs. 110 as interest. Then the

amounts given at 4% and 5% per annum on simple interest are, respectively

(a) Rs. 500, Rs. 700 (b) Rs. 400, Rs. 800 (c) Rs. 900, Rs. 300 (d) Rs. 1100, Rs. 1100

(e) None of these

Simple interest

(Set – 5,6,7)

52) A certain amount is invested in scheme A for 6 years which offers simple interest at the rate of

x% per annum. The same amount is invested in scheme B for 2 years which offers compound interest

(compound annually) at the rate of 10% per annum. Interest earned from scheme A is twice to

that of earned from scheme B. If the rate of interest of scheme A had been (x + 2)% per annum, the

difference between the interest after corresponding periods would have been Rs 3960. What is the

amount invested in each scheme?

(a) Rs 15,000 (b) Rs 12,000 (c) Rs 13,000 (d) Rs 12,500 (e) Rs. 13,500

53) A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which

depreciates at the rate of 100/7% per annum and B 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%

54) 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

55) Vikram has deposited certain amount in the bank to earn C.I. at 10% per annum. The difference

of the interest on the amount between 3rd and 2nd years is Rs 1,100. What amount has Vikram

deposited?

(a) Rs 100000 (b) Rs 110000 (c) Data inadequate (d) Rs 105000 (e) Rs 115000

56) The difference between CI and SI on a sum for 2 years at 10% per annum when the interest is

compound annually is Rs 16. If the interest were compounded half yearly the difference in the interest

will be

(a) Rs 24.81 (b) Rs 31.61 (c) Rs 32.40 (d) Rs 26.90 (e) Rs 28.41

57) Nishant invested Rs 20,000 with rate of interest 20% per annum. The interest was compounded

half yearly for first one year and in the next year it was compounded yearly. What will be the total

interest earned at the end of two years?

(a) Rs 8800 (b) Rs 9040 (c) Rs 8040

(d) Rs 8200 (e) Rs 8400

Simple interest

(Set – 5,6,7)

58) Vikas invested 3400 in each of the two schemes X and Y. Schemes X offers compound interest

(compound annually) and Schemes Y offers simple interest. In both the schemes he invested for

two years and the rates of interest both the schemes were equal. If the interest Earned by him

from the scheme X is 98.26 more than that earned by him from scheme Y, what is the rate of interest

(pcpa) of both the sums?

(a) 19% (b) 16% (c) 17% (d) 21% (e) None of these

59) A sum of money was invested for 14 years was in scheme A which offers SI @ of 8% .p.a. The

amt received from scheme A after 14 yrs was the invested for 2 yrs in scheme B which offers CI @

of 10% p.a. If the interest received from scheme B was rs. 6678. what was the sum invested in

scheme A.

(a) 19000 (b) 16000 (c) 17000 (d) 21000 (e) 15000