**Simple Interest and Compound Interest Questions for TISSNET PDF**

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**Question 1: **Swarn a SME enterprise borrowed a sum of money from a nationalized bank at 10% simple interest per annum and the same amount at 8% simple interest per annum from a microfinance firm for the same period: It cleared the first loan 6 months before the scheduled date of repayment and repaid the second loan just at the end of the scheduled period: If in each case it had to pay Rs. 62100 as amount then how much money and for what time period did it borrow?

a) Rs. 55750, 2 years

b) Rs. 52500, 2 years

c) Rs. 51750, 2.5 years

d) Rs. 55750, 2.5 years

**Question 2: **Mr. Mehra is planning for higher education expenses of his two sons aged 15 and 12. He plans to divide Rs 15 lakhs in two equal parts and invest in two different plans such that his sons may have access to Rs 21 lakhs each when they reach the age of 21. He is looking for plans that will give him a simple interest per annum. The rates of interest of the plans for his younger son and his elder son should be

a) 5% and 7.5% respectively

b) 8% and 12% respectively

c) 10% and 15% respectively

d) 15 % and 22.5% respectively

e) 20% and 30% respectively

**Question 3: **The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500. What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years?

a) Rs.1040

b) Rs.1020

c) Rs.1060

d) Rs.1200

**Question 4: **Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is

**Question 5: **Ms. Debjani after her MBA graduation wants to have start-up of her own. For this, she uses ₹ 8,00,000 of her own savings and borrows ₹ 12,00,000 from a public sector bank under MUDRA Scheme.As per the agreement with the bank,she is supposed to repay the principle of this loan equally over the period of the loan which is 25 years. Two years after taking the first loan, she borrowed an additional loan of ₹ 8,00,000 to finance expansion plan of her start-up. If Ms Debjani clears all her loans in 25 years from the date of taking the first loan, how much total interest she has to pay on her initial borrowing? Assume simple interest rate at 8 per cent per annum.

a) Rs.12,48,000

b) Rs.12,84,000

c) Rs.14,20,000

d) Rs.12,96,000

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**Question 6: **A man lends some money to his friend at 5% per annum of interest rate. After 2 years, the difference between the Simple and the compound interest on money is Rs. 50. What will be the value of the amount at the end of 3 years if compounded annually?

a) 21325.6

b) 24512.5

c) 22252.7

d) 23152.5

**Question 7: **A man lends some money to his friend at 5% per annum of interest rate. After 2 years, the difference between the Simple and the compound interest on money is Rs. 50. What will be the value of the amount at the end of 3 years if compounded annually?

a) 21325.6

b) 24512.5

c) 22252.7

d) 23152.5

**Question 8: **Mr. Mishra invested Rs.25,000 in two fixed deposits X and Y offering compound interest @ 6% per annum and 8% per annum respectively. If the total amount of interest accrued in two years through both fixed deposits is Rs.3518, the amount invested in Scheme X is

a) Rs. 12,000

b) Rs. 13,500

c) Rs. 15,000

d) Cannot be determined

**Question 9: **Three years ago, your close friend had won a lottery of Rs. 1 crore. He purchased a flat for Rs. 40 lakhs, a car for Rs. 20 lakhs and shares worth Rs. 10 lakhs. He put the remaining money in a bank deposit that pays compound interest @ 12 percent per annum. If today, he sells off the flat, the car and the shares at certain percentage of their original value and withdraws his entire money from the bank, the total gain in his assets is 5%. The closest approximate percentage of the original value at which he sold off the three items is

a) 60 percent

b) 75 percent

c) 90 percent

d) 105 percent

**Question 10: **The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500. What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years?

a) Rs.1040

b) Rs.1020

c) Rs.1060

d) Rs.1200

**Answers & Solutions:**

**1) Answer (C)**

The sum that was returned is same in both cases that means interest accrued is same in both cases.

Assume that the duration is ‘t’ years for which amount is borrowed in both case and principal amount is ‘P’.

$\frac{P*(t-0.5)*10} {100}$ = $\frac{P*t*8} {100}$

t=2.5 years

Principal amount that the enterprise borrowed :

$P(1+\frac{2*10}{100})$ =62100

P=51750

**2) Answer (E)**

Rs. 15 lakhs is to be divided equally.

In the case of the younger son,

Principal = Rs. 750000, time = 9 years and Interest = Rs. 1350000

Rate of interest = $\dfrac{1350000 * 100}{750000 * 9}$ = 20%

In the case of the elder son,

Principal = Rs. 750000, time = 6 years and Interest = Rs. 1350000

Rate of interest = $\dfrac{1350000 * 100}{750000 * 6}$ = 30%

Hence, option E is the correct answer.

**3) Answer (A)**

Simple Interest = $\ \frac{\ P\cdot T\cdot r}{100}$ where P is the principal, T is the time period and r is the rate of interest.

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500

6500=$\ \frac{\ P\times\ 8\times\ 13}{100}$

P = Rs. 6250

Compound Interest on 6250 for 2 years at 8% rate of interest = 6250$\left(1+\ \frac{\ 8}{100}\right)^2$- 6250

= Rs. 1040

A is the correct answer.

**4) Answer: 20920**

The amount with Amal at the end of 1 year = 12000*1.08+10000*1.03*1.03=23569

Interest received by Amal = 23569-22000=1569

Let the amount invested by Bimal = 100b

Interest received by Bimal = 100b*7.5*1/100=7.5b

It is given that the amount of interest received by both of them is the same

7.5b=1569

b=209.2

Amount invested by Bimal = 100b = 20920

**5) Answer (A)**

For the first year, amount = 1200000*0.08

for the second year = 1152000*0.08

On similar lines for the twenty-fifth year = 48000*0.08

This is in AP with first term 48000*0.08 with common difference 3840

Total interest = $\ \frac{\ 25}{2}\left(2\times\ 48000\cdot0.08+24\cdot3840\right)$

=1248000

A is the correct answer.

**6) Answer (D)**

If P is the principal and r is the rate of interest, then the difference between simple interest and compound interest for 2 years = $\ \frac{\ \Pr^2}{100^2}$

It is given that the difference is Rs 50 and the rate of interest is 5% per annum.

Principle P = Rs. 20000

Amount at the end of 3 years = $P\left(1+\ \frac{\ 5}{100}\right)^3$

= $20000\left(1+\ \frac{\ 5}{100}\right)^3$

= Rs.23152.5

D is the correct answer.

**7) Answer (D)**

If P is the principal and r is the rate of interest, then the difference between simple interest and compound interest for 2 years = $\ \frac{\ \Pr^2}{100^2}$

It is given that the difference is Rs 50 and the rate of interest is 5% per annum.

Principle P = Rs. 20000

Amount at the end of 3 years = $P\left(1+\ \frac{\ 5}{100}\right)^3$

= $20000\left(1+\ \frac{\ 5}{100}\right)^3$

= Rs.23152.5

D is the correct answer.

**8) Answer (C)**

Let the amount invested in X = x

Thus, the amount invested in Y = 25000-x

The interest incurred = 3518 Rs, thus the total amount at the end of the 2nd year = 28518 Rs.

Thus, $x*(1.06)^2 + (25000-x)*(1.08)^2 = 28518$

=> $x*1.1236 + 25000*1.11664 – x*1.11664 = 28518$

=> $-0.0428x + 29160 = 28518$

=> $ 642 = 0.0428x$

Hence, $x = 15000 Rs$

Hence, option C is the correct answer.

**9) Answer (C)**

Hi total gain = 5%

Thus, the amount at the end of 3 years = 105 lakh Rupees

The amount he gets from the bank = $30(1.12)^2 = 42.14784$ lakh rupees

Let x be the percentage at which he sells the assets of worth 70 lakhs

Thus, the amount he gets = 0.7x lakhs

Thus, 70x + 42.1478 = 105

Thus, 70x = 62.8525

Thus, x is closest to 0.90= 90%

Hence, option C is the correct answer.

**10) Answer (A)**

Simple Interest = $\ \frac{\ P\cdot T\cdot r}{100}$ where P is the principal, T is the time period and r is the rate of interest.

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500

6500=$\ \frac{\ P\times\ 8\times\ 13}{100}$

P = Rs. 6250

Compound Interest on 6250 for 2 years at 8% rate of interest = 6250$\left(1+\ \frac{\ 8}{100}\right)^2$- 6250

= Rs. 1040

A is the correct answer.

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