S.chand Class 8 Maths Solution Chapter 9 Compound Interest Exercise 9 C

 Exercise 9 C

Question 1

1. What amount of money should Mohan invest in a bank in order to get $₹ 1323$ in 2 years at $5 \%$ compounded annually ?

2. Find the sum which amounts to $₹ 1352$ in 2 years at $4 \%$ compound interest.

3. A certain sum amounts to $₹ 1331$ in $1 \frac{1}{2}$ years at $20 \%$ p.a. compound interest compounded half yearly. Determine the sum.

4. On what sum of money does the difference between the simple interest and compound interest in 2 years at $5 \%$ per annum is $₹ 15$ ?

5. On what sum of money will the difference between the simple interest and the compound interest for 2 years at $5 \%$ per annum be equal to ₹ 50 ?

6. Find the rate per cent annum, if compounded yearly

(i) Principal $=₹ 196$, Amount $=₹ 225$, Time $=2$ years.

(ii) Principal $=₹ 3136$, Compound interest $=₹ 345$, Time $=2$ years.

7. ₹ 8000 became ₹ 9261 in a certain interval of time at the rate of $5 \%$ per annum, C.I. Find the time.

8. Determine the rate of interest at which a sum of money will become $\frac{216}{125}$ times the original amount in $1 \frac{1}{2}$ years, if the interest is compounded half-yearly.

Multiple Choice Questions (MCQs)

9. In what time will ₹ 2000 amount to $₹ 2662$ at $20 \%$ per annum compounded half yearly ?

(a) $1 \frac{1}{2}$ years

(b) 2 years

(c) 1 year

(d) $2 \frac{1}{2}$ years

10. The difference between simple interest and compound interest (compounded annually) on a sum of money for 2 years at $10 \%$ per annum is $₹ 65$. The sum is

(a) ₹ 65650

(b) ₹ 65065

(c) ₹ 6565

(d) ₹ 6500

11. At what rate of compound interest per annum will a sum of $₹ 2000$ become $₹ 2332.80$ in 2 years, interest compounded annually?

(a) $6 \%$

(b) $6.5 \%$

(c) $8 \%$

(d) $10 \%$

High Order Thinking Skills (HOTS)

12. Krishna purchased an old scooter for $₹ 8000$. If its cost after 2 years is $₹ 6480$, what is the rate of depreciation?