Vardaan Learning Institute

1. Calculate the compound interest on ₹10,800 for 3 years at $12 \frac{1}{2}\%$ per annum compounded annually.

2. Find the amount which Ram will get on ₹4,096, if he gave it for 18 months at $12 \frac{1}{2}\%$ per annum, interest being compounded half-yearly.

3. The population of a place increased to 54,000 in 2003 at a rate of $5\%$ per annum.
(i) Find the population in 2001.
(ii) What would be its population in 2005?

4. A scooter was bought at ₹42,000. Its value depreciated at the rate of $8\%$ per annum. Find its value after one year.

5. Find the compound interest on ₹10,000 for 1 year at $8\%$ per annum compounded half-yearly. Also find the difference between this interest and the interest calculated if it were compounded annually.

6. The difference between the Compound Interest and Simple Interest on a certain sum of money for 2 years at $10\%$ per annum is ₹500. Find the sum.

7. A sum of money amounts to ₹13,230 in 1 year and to ₹13,891.50 in $1 \frac{1}{2}$ years at compound interest, compounded semi-annually. Find the sum and the rate of interest per annum.

8. At what rate percent per annum will a sum of ₹6,000 amount to ₹6,615 in 2 years, interest compounded annually?

9. Three years ago, the population of a town was 50,000. If the annual increase during three successive years be at the rate of $5\%$, $4\%$ and $3\%$ respectively, what is the present population?

10. In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of $2.5\%$ per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

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

12. Find the compound interest on ₹1,60,000 for 2 years at $10\%$ per annum when compounded semi-annually. How much more is this than the interest if it was compounded annually?