PREPARATORY QUESTIONS

APPLICATION SUMS (QUANTS)

SIMPLE AND COMPOUND INTEREST

Question No : 1

Anil invested an amount for three years at a simple interest rate of 9% p.a. He got an amount of Rs.19,050 at the end of three years. What principal amount did he invest?

(1) Rs.14,500

(2) Rs.11,050

(3) Rs.11,440

(4) Rs.10,950

(5) None of these

Question No : 2

What will be the compound interest on an amount of Rs.5,000 for a period of 2 years at 8% p.a.?

(1) Rs.840

(2) Rs.400

(3) Rs.823

(4) Rs.416

(5) None of these

Question No : 3

What is the interest received on a principal of Rs.450 for 2 years if the interest received on Rs.1 after four years at the same rate of simple interest is Rs.0.40?

(1) Rs.90

(2) Rs.180

(3) Rs.36

(4) Can’t say

(5) None of these

Question No : 4

Ms. Sandhya deposits an amount of Rs.31,400 to obtain a simple interest at the rate of 12 percent per annum for 8 years. What total amount will Ms. Sandhya get at the end of 8 years?

(1) Rs.31,444

(2) Rs.61,544

(3) Rs.41,544

(4) Rs.31,144

(5) None of these

Question No : 5

What amount of compound interest can be obtained on the principal amount of Rs.15800 at the rate of 6 percent per annum at the end of 2 years?

(1) Rs.1,986

(2) Rs.2,012.48

(3) Rs.1,952.88

(4) Rs.1,956

(5) None of these

Question No : 6

Sudhanshu invested Rs.15,000 at interest 10% p.a. for one year. If the interest is compounded every six months what amount will Sudhanshu get at end of the year?

(1) Rs.16,537.50

(2) Rs.16,5000

(3) Rs.16,525.50

(4) Rs.18,150

(5) None of these

Question No : 7

Ms. Suchi deposits an amount of Rs.24,000 to obtain a simple interest at the rate of 14% p.a. for 8 years. What total amount will Ms. Suchi get at the end of 8 years?

(1) Rs.52080

(2) Rs.28000

(3) Rs.50880

(4) Rs.26880

(5) None of these

Question No : 8

The simple interest accrued on an amount of Rs.84,000 at the end of three year is Rs.30,240. What would be the compound interest accrued on the same amount at the same rate in the same period?

(1) Rs.30,013.95

(2) Rs.31,013.95

(3) Rs.32,013.95

(4) Rs.33,013.95

(5) None of these

Question No : 9

What will be the difference between the compound interest and simple interest at the rate of 5% p.a. on an amount of Rs.4,000 at the end of two years?

(1) Rs.10

(2) Rs.20

(3) Rs.30

(4) Data inadequate

(5) None of these

Question No : 10

What annual payment will discharge a debt of Rs.6,450 due in 4 years at 5% per annum simple interest?

(1) Rs.1,400

(2) Rs.1,500

(3)  Rs.1,550

(4) Rs.1,600

(5) None of these

Question No : 11

If the compound interest accrued on an amount of Rs.14500 in two years is Rs.4676.25, what is the rate of interest percentage p.a.?

(1) 11

(2) 9

(3) 15

(4) 18

(5) None of these

Question No : 12

The compound interest accrued on an amount of Rs.25,500 at the end of three year is Rs.8,440.5. What would be the simple interest accrued on the same amount at the same rate in the same period?

(1) Rs.4,650

(2) Rs.5,650

(3) Rs.6,650

(4) Rs.7,650

(5) None of these

Question No : 13

The simple interest obtained on an amount of Rs.45,000 at the end of 4 year is Rs.15,300. What would be the approximate compound interest obtained on the same amount at the same rate of interest in the same period?

(1) Rs.18,244

(2) Rs.18,544

(3) Rs.16,285

(4) Rs.18,566

(5) None of these

Question No : 14

The simple interest accrued on a sum of certain principal is Rs.1,200 in four year at the rate of 8% p.a. What would be the simple interest accrued on thrice of that principal at the rate of 6% p.a. in 3 year?

(1) Rs.2,025

(2) Rs.3,025

(3) Rs.2,250

(4) Rs.2,150

(5) None of these

Question No : 15

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

(1) 48 years

(2) 45 years

(3) 54 years

(4) 60 years

(5) None of these

Question No : 16

In how many years will a sum of Rs.800 at 10% per annum compound interest, compounded semi-annually becomes Rs.926.10?

Question No : 17

(1) 24 years

(2) 20 years

(3) 16 years

(4) 12 years

(5) None of these

Question No : 18

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

(1) Rs.1,44,000

(2) Rs.1,20,000

(3) Rs.1,50,000

(4) Rs.1,92,000

(5) None of these

Question No : 19

The simple interest on a sum for 5 years is one fourth of the sum. The rate of interest per annum is

(1) 5%

(2) 6%

(3) 4%

(4) 8%

(5) None of these

Question No : 20

Question No : 21

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

(1) 5%

(2) 8%

(3) 10%

(4) 12%

(5) None of these

Question No : 22

A sum becomes Rs.2,916 in 2 years at 8% per annum compound interest. The simple interest at 9% per annum for 3 years on the same amount will be

(1) Rs.625

(2) Rs.600

(3) Rs.675

(4) Rs.650

(5) None of these

Question No : 23

A person deposited Rs.500 for 4 years and Rs.600 for 3 years at the same rate of simple interest in a bank. Altogether he received Rs.190 as interest. The rate of simple interest per annum was.

(1) 3%

(2) 4%

(3) 5%

(4) 2%

(5) None of these

Question No : 24

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

(1) 15 years

(2) 12 years

(3) 10 years

(4) 20 years

(5) None of these

Question No : 25

The simple interest an Rs.4,000 in 3 years at the rate of x% per annum equals the simple interest on Rs.5,000 at the rate of 12% per annum in 2 years. The value of x is.

(1) 8%

(2) 9%

(3) 10%

(4) 6%

(5) None of these

Question No : 26

If the compound interest on a certain sum for two years at 12% per annum is Rs.2,544 the simple interest on it at the same rate for 2 years will be

(1) Rs.2,400

(2) Rs.2,500

(3) Rs.2,480

(4) Rs.2,440

(5) None of these

Question No : 27

A certain amount of money earns Rs.540 as simple interest in 3 years. If it earns a compound interest of Rs.376.20 at the same rate of interest in 2 years, find the amount (in rupees)

(1) 2100

(2) 1600

(3) 1800

(4) 2000

(5) None of these

Question No : 28

The simple interest accrued on an amount of Rs.2,500 at the end of six years is Rs.1,875. What would be the simple interest accrued on an amount of Rs.6,875 at the same rate and same period?

(1) Rs.4,556.5

(2) Rs.5,025.25

(3) Rs.4,895.25

(4) Rs.5,245.5

(5) None of these

Question No : 29

What amount a man would have received on a principal of Rs.4,000 after two years at simple interest at the rate of 5 percent per annum?

(1) Rs.4,161

(2) Rs.5,200

(3) Rs.4,400

(4) Rs.4,100

(5) Rs.4,190

Question No : 30

A certain sum of money amounts to Rs.1008 in 2 years and the same sum of money amounts to Rs.1164 in 3 years and 6 months at simple interest. Find the sum and the rate of interest.

(1) Rs.900, 14% p.a.

(2) Rs.800, 13% p.a.

(3) Rs.700, 12% p.a.

(4) Rs.800, 19% p.a.

(5) Rs.700, 13% p.a.

Question No : 31

If at the end of five years, A made profit of Rs.800 from the deal, how much was the original sum?

(1) Rs.6,500

(2) Rs.4,000

(3) Rs.6,200

(4) Rs.6,000

(5) Rs.4,500

Question No : 32

Suresh invested a sum of Rs.15000 at 9 percent per annum simple interest and Rs.12000 at 8 percent per annum compound interest for a period of 2 years. What amount of interest did Suresh earn in 2 years?

(1) Rs.4,096.60

(2) Rs.4,696.80

(3) Rs.4,896.60

(4) Rs.4,698.60

(5) None of these

Question No : 33

Ramesh deposited Rs.15600 in a fixed deposit at the rate of 10% per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth years is

(1) Rs.1716

(2) Rs.1560

(3) Rs.3744

(4) Rs.1872

(5) None of these

Question No : 34

Rs.800 becomes Rs.956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs.800 become in 3 years?

(1) Rs.1020.80

(2) Rs.1025

(3) Rs.1052

(4) Rs.1050

(5) None of these

Question No : 35

Arun lends Rs.20,000 to two of his friends. He gives Rs.12,000 to the first at 8% p.a. simple interest. Arun wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend is:

(1) 8%

(2) 16%

(3) 12%

(4) 13%

(5) None of these

Question No : 36

The simple interest on a sum of money for 3 years is Rs.240 and the compound interest on the same sum, at the same rate for 2 years is Rs.170. The rate of interest is.

Question No : 37

On a certain sum of money, the difference between the compound interest for a year, payable half-yearly and the simple interest for a year is Rs.180. If the rate of interest in both the cases is 10%, then the sum is:

(1) Rs.60,000

(2) Rs.72,000

(3) Rs.62,000

(4) Rs.54,000

(5) None of these

Question No : 38

An amount of money appreciates to Rs.7,000 after 4 years and to Rs.10,000 after 8 years at a certain compound interest compounded annually. The initial amount of money was.

(1) Rs.4700

(2) Rs.4900

(3) Rs.4100

(4) Rs.4300

(5) None of these

Question No : 39

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

(1) Rs.32,800

(2) Rs.32,400

(3) Rs.32,000

(4) Rs.32,200

(5) None of these

Question No : 40

If a sum of amount becomes 3 times in 8 years at compound interest, it will became 9 times in how many years?

(1) 16 years

(2) 21 years

(3) 18 years

(4) 24 years

(5) None of these

Question No : 41

The sum invested in scheme B is twice the sum invested in scheme A. Investment in scheme A is made for 3 years at 8% p.a. simple interest and in Scheme B for 2 years at 9% p.a. simple interest. The total interest earned from both the schemes is Rs.1800. How much was invested in Scheme A?

(1) Rs.4000

(2) Rs.3500

(3) Rs.3000

(4) Rs.2500

(5) Rs.4500

Question No : 42

The interest earned when Rs. ‘P’ is invested for four years in a scheme offering 9% p.a. simple interest is more than the interest earned when the same sum (Rs.P) is invested for two years in another scheme offering 12% p.a. simple interest, by Rs.360. What is the value of P?

(1) 2000

(2) 3500

(3) 2500

(4) 4000

(5) 3000

Question No : 43

Ronnie invested Rs. P in scheme A offering simple interest at 12% per annum for two years. He invested the whole amount he received from scheme A, in another scheme B offering simple interest 15% per annum for two years. If the difference between the interest earned from scheme A and B was Rs.264, What is the value of P?

(1) 2640

(2) 2500

(3) 2250

(4) 1800

(5) 2000

Question No : 44

Ravi invested Rs.P in a scheme A offering simple interest at 10% p.a. for two years. He invested the whole amount he received from scheme A, in another scheme B offering simple interest at 12% p.a. for five years. If the difference between the interest earned from schemes A and B was Rs.1300, what is the value of P?

(1) 2500

(2) 2000

(3) 3000

(4) 2900

(5) 3200

Question No : 45

Srinivasan invests two equal amounts in two banks giving 10% and 12% rate of interest respectively. At the end of year the interest earned is Rs.1650 Find the sum invested in each.

(1) Rs.8,500

(2) Rs.15,000

(3) Rs.7,500

(4) Rs.17,000

(5) None of these

Question No : 46

Radha invests certain sums in scheme A (for 6 years) and B (for 5 years) both offering simple interest. The sum invested in scheme B was 25% less than that in scheme A. The interest received from both the schemes are equal. If the interest offered by scheme A is 10% per annum what is the rate of interest (per annum) offered by scheme B?

(1) 12%

(2) 20%

(3) 16%

(4) 15%

(5) 18%

Question No : 47

The interest received on a sum of money when invested in scheme A is equal to the interest received on the same sum of money when invested for 2 years in scheme B. Scheme A offers simple interest (p.c.p.a) and scheme B offers compound interest (compounded annually). Both the schemes offer the same rate of interest. If the numerical value of the number of years for which the sum is invested in scheme A is same as the numerical value of the rate of interest offered by the same scheme, what is the rate of interest (p.c.p.a) offered by scheme A?

Question No : 48

A invests a certain sum is scheme A at compound interest (compounded annually) of 10% per annum for 2 years. In scheme B he invests at simple interest of 8% per annum for 2 years. He invests in schemes A and B in the ratio of 1 : 2. The difference between the interest earned from both the schemes is Rs.990. Find the amount invested in scheme A.

(1) Rs.7500

(2) Rs.8000

(3) Rs.9000

(4) Rs.8500

(5) Rs.8600

Question No : 49

Yash invests Rs.1200 in scheme A, which offers a compound interest (on an annual basis) at a rate of 20% p.a. for a period of 2 years. He invests a certain sum in scheme B, which offers simple interest at a rate of 15% p.a. for a period of 3 years. The interest received from scheme A is Rs.42 more than that received from scheme B. The sum invested in scheme B was what percent of that invested in scheme A?

(1) 90%

(2) 110%

(3) 80%

(4) 75%

(5) 25%

Question No : 50

Raman invested Rs.P for 2 years in scheme A which offered 20% per annum compound interest (compounded annually). He lent the interest earned from scheme A to Shubh, at the rate of 7.5% per annum simple interest. If at the end of 2 years, Subh gave Rs.3036 to Raman and thereby repaid the whole amount (actual loan + interest) what is the value of P?

(1) Rs.6000

(2) Rs.5800

(3) Rs.6800

(4) Rs.5400

(5) Rs.6400

Question No : 51

Shyama invested Rs.P for 2 years in scheme A which offered 11% per annum simple interest. She also invested Rs.(600 + P) in scheme B which offered 20% compound interest (compounded annually), for 2 years. If the amount received from scheme A was less than that received from scheme B, by Rs.1216, what is the value of P?

(1) Rs.1,500

(2) Rs.1,400

(3) Rs.2,000

(4) Rs.1,600

(5) Rs.1,800

Question No : 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 compounded annually at the rate of 10% per annum. Interest earned from scheme A is twice to that earned from scheme B. If the rate of interest of scheme A had been (x + 2)% per annum, the difference between the interests after corresponding periods would have been Rs.3960. What is the amount invested in each scheme?

(1) Rs.35000

(2) Rs.32000

(3) Rs.33000

(4) Rs.33500

(5) None of these

Question No : 53

Rashmi had Rs.4,200. She invested some of it in scheme A for 4 years and rest of the money. She invested in scheme B for two years. Scheme A offers simple interest at a rate of 22% p.a. and scheme B offers compound interest (compounded annually) at a rate of 10% p.a. If the interest received from Scheme A is Rs.1,516 more than the interest received from Scheme B, what was the sum invested by her in scheme A?

(1) Rs.2,600

(2) Rs.2,000

(3) Rs.2,200

(4) Rs.2,400

(5) Rs.1,800

Question No : 54

Aman invested a certain sum Rs.’x’ for two years in scheme A offering compound interest at 20% p.a. (compounded annually). He also invested Rs.(x – 1600) in scheme B for three years offering simple interest at 10% p.a. The interest he received from scheme A was twice the interest he received from scheme B. What is the sum of money that Aman had invested in scheme B?

(1) Rs.4400

(2) Rs.4800

(3) Rs.4200

(4) Rs.4600

(5) Rs.4000

Question No : 55

A sum of money lent out at compound interest increases in value by 50% in 5 years. A person wants to lend three different sum x, y and z for 10, 15 and 20 years respectively at the above rate in such a way that he gets back equal sum at the end of their respective periods. The ratio x : y : z is

(1) 6 : 9 : 4

(2) 9 : 4 : 6

(3) 9 : 6 : 4

(4) 6 : 4 : 9

(5) None of these

Question No : 56

Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs.760, what amount was lent in each case?

(1) Rs.1700

(2) Rs.1800

(3) Rs.1900

(4) Rs.2000

(5) None of these

Question No : 57

A person invests money in three different schemes for 6 years, 10 years and 12 years at 10 percent 12 percent and 15 percent simple interest respectively. AT the completion of each scheme. He gets the same interest. The ratio of his investment is

(1) 6 : 3 : 2

(2) 2 : 3 : 4

(3) 3 : 4 : 6

(4) 3 : 4 : 2

(5) None of these

Question No : 58

With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5 : 7. The rate of interest is:

(1) 4%

(2) 6%

(3) 5%

(4) 7%

(5) None of these

Question No : 59

(1) 5%

(2) 7%

(3) 10%

(4) 12%

(5) None of these

Question No : 60

Ram deposited a certain sum of money in a company at 12% per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15% per annum simple interest. If the difference in the interest from two sources is Rs.1350 then the sum deposited in each case is:

(1) Rs.3000

(2) Rs.4000

(3) Rs.6500

(4) Rs.5000

(5) None of these

Question No : 61

A sum of Rs.7,930 is divided into 3 parts and given at loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of

(1) Rs.2,800

(2) Rs.3,050

(3) Rs.2,750

(4) Rs.2,760

(5) None of these

Question No : 62

A boy aged 12 years is left with Rs.100,000 which is under a trust. The trustees invest the money at 6% per annum and pay the minor boy a sum of Rs.2500, for his pocket money at the end of each year. The expenses of trust come out to be Rs.500 per annum. Find the amount that will be handed over to the minor boy after he attains the age of 18 years.

(1) Rs.1,25,000

(2) Rs.1,18,000

(3) Rs.1,50,000

(4) Rs.1,20,000

(5) None of these

Question No : 63

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 Rs.104.50 a year. The amount of money he borrows is:

(1) Rs.6,000

(2) Rs.5,500

(3) Rs.5,000

(4) Rs.4,500

(5) None of these

Question No : 64

A principal of Rs.10,000, after 2 years compounded annually the rate of interest being 10% per annum during the first year and 12% per annum during the second year (in rupees) will amount to:

(1) Rs.12,000

(2) Rs.12,320

(3) Rs.12,500

(4) Rs.21,000

(5) None of these

Question No : 65

The compound interest on a certain sum of money at a certain rate per annum for two years is Rs.2,050 and the simple interest on the same amount of money at the same rate for 3 years is Rs.3000. Then the sum of money is:

(1) Rs.20,000

(2) Rs.18,000

(3) Rs.21,000

(4) Rs.25,000

(5) None of these

Question No : 66

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

(1) Rs.3.50

(2) Rs.7

(3) Rs.14

(4) Rs.35

(5) Rs.5.3