In worksheet on compound interest we will solve different types of questions where compound interest is calculated annually, where compound interest is calculated half-yearly and where compound interest is calculated quarterly by using formulas.

**1.** Find the amount and the compound interest on $ 2500 for 2 years at 10% per annum, compounded annually. **2.** Find the amount and the compound interest on $ 16000 for 3 years at 5% per annum, compounded annually. **3.** Find the difference between the simple interest and the compound interest on $ 5000 for 2 years at 6% per annum. **4. **Roby obtained a loan of $ 25000 from the Syndicate Bank to renovate her house. If the rate of interest is 8% per annum, what amount will she have to pay to the bank after 2 years to discharge her debt?

**5. ** Henna borrowed $ 20000 from her friend Nancy at 12% per annum simple Interest. She lent it to Andy at the same rate but compounded annually. Find her gain after 2 years.

**6. ** Mike deposited a sum of $ 64000 in a post office for 3 years, compounded annually at 7¹/₂ % per annum. What amount will he get on maturity?

**7. ** David deposited a sum of $ 6250 in the ICICI Bank for 1 year, compounded half-yearly at 8% per annum. Find the compound interest he gets.

**8. ** Mike borrowed $ 16000 from a finance company at 10% per annum, compounded half-yearly. What amount of money will discharge his debt after 1¹/₂ years?

**1. ** Principal = $ 6000, rate = 5% p.a. and time = 2 years.

**2. ** Principal = $ 10000, rate = 11% p.a. and time = 2 years .

**3.** Principal = $ 4800, rate = 7¹/₂ % p.a. and time = 2 years.

**4.** Principal = $ 31250, rate = 8% p.a. and time = 3 years.

**5. ** Principal = $ 6750, rate = 6²/₃ % p.a. and time = 3 years.

**6. ** Principal = $ 62500, rate = 12 % p.a. and time = 2¹/₂ years.

**7. ** Principal = $ 15000, rate = 10% p.a. and time = 2¹/₅ years.

**8.** Principal = $ 8000, time = 2 years and the rates being 9% per annum during the first year and 10% per annum during the second year.

**9. ** Andy obtained a loan of $ 125000 from the Allahabad Bank for buying computers. The bank charges compound interest at 8% per annum, compounded annually. What amount will he have to pay after 3 years to clear the debt?

**10.** Three years ago, Brandon purchased a buffalo from Sam for $ 11000. What payment will discharge his debt now, the rate of interest being 10% per annum, compounded annually?

**11. ** Shelly took a loan of $ 18000 from S.R Finance to purchase a TV set. If the company charges compound interest at 12% per annum during the first year and 12¹/₂% per annum during the second year, how much will she have to pay after 2 years?

**12.** Nancy borrowed $ 24000 from the State Bank to buy a scooter. If the rate of interest be 10% per annum compounded annually, what payment will she have to make after 2 years 3 months?
Hint. 2 years 3 months = 2¹/₄ years.

**13. ** Abby borrowed $ 16000 at 7¹/₂ % per annum simple interest. On the same day, he lent it to Gary at the same rate but compounded annually. What does he gain at the end of 2 years?

**14.** The simple interest on a sum of money for 2 years at 6% per annum is $ 900. What will be the compound interest on that sum at the same rate and for the same period?

**15. ** The difference between the compound interest and the simple interest on a certain sum for 2 years at 5% per annum is $ 40. Find the sum.

**16.** The difference between the compound interest and the simple interest on a certain sum for 3 years at 10% per annum is $ 93. Find the sum.

**17.** A sum of money amounts to $ 10240 in 2 years at 6²/₃ % per annum, compounded, annually. Find the sum.

**18.** What sum of money will amount to $ 21296 in 3 years at 10% per annum, compounded annually?

**19.** At what rate per cent per annum will $ 4000 amount to $ 4410 in 2 years when compounded annually?

20. At what rate per cent per annum will $ 640 amount to $ 774.40 in 2 years when compounded annually?

**21.** In how many years will $ 1800 amount to $ 2178 at 10% per annum when compounded annually?

**22.** In how many years will $ 1600 amount to $ 1852.20 at 5% per annum when compounded annually?

**1. ** Find the amount and the compound interest on $ 8000 for 1 year at 10% per annum, compounded half-yearly.

**2.** Find the amount and the compound interest on $ 31250 for 1¹/₂ years at 8% per annum, compounded half-yearly.

**3.** Find the amount and the compound interest on $ 12800 for 1 year at 7¹/₂ % per annum, compounded semi-annually.

**4.** Find the amount and the compound interest on $ 160000 for 2 years at 10% per annum, compounded half-yearly.

**5.** Sandy borrowed $ 40960 from a bank to buy a piece of land. If the bank charges 12¹/₂ % per annum, compounded half-yearly, what amount will she have to pay after 1¹/₂ years? Also find the interest paid by her.

**6.** Mike purchased a house from a lender on credit. If the cost of the house is $ 125000 and the lender charges interest at 12% per annum compounded half-yearly, find the interest paid by Aslam after a year and a half.

**7.** Shelly deposited $ 20000 in a bank where the interest is credited half-yearly. If the rate of interest paid by the bank is 6% per annum, what amount will she get after 1 year?

**8.** Nik lent $ 65536 for 2 years at 12¹/₂ % per annum, compounded annually. How much more could he earn if the interest were compounded half-yearly?

**9.** Sam deposited $ 32000 in a bank, where the interest is credited quarterly. If the rate of interest be 5% per annum, what amount will he receive after 6 months?

**10.** Andy took a loan of $ 390625 from Kathy Finance. If the company charges interest at 16% per annum, compounded quarterly, what amount will discharge his debt after one year?

**Answers**

**A.** 1. Amount = Rs 3025, CI = Rs 525

2. Amount = Rs 18522, CI = Rs 2522

3. Rs 18

4. Rs 29160

5. Rs 288

6. Ps 79507

7. Rs 510

8.Rs 18522**B.** 1. Amount = Rs 6615, CI = Rs 615

2. Amount = Ps 12321, CI = Rs 2321

3. Amount = Rs 5547, CI = Rs 747

4. Amount = Rs 39366, CI = Rs 8116

5. Amount = Rs 8192, CI = Rs 1442

6. Amount = Rs 83 104, CI =Rs 20604

7. Amount =Rs18513, CI = Rs 3513

8. Amount = Rs 9592, CI = Rs 1592

9. Rs 157464

10. Rs 14641

11. Rs22680.

12. Rs29766

13. Rs90

14. Rs 927

15. Rs 16000

16. Rs 3000

17. Rs 9000

18. Rs 16000

19. 5% p.a.

20. 10% p.a.

21.2 years

22. 3 years **C. **1. Amount = Rs 8820, CI = Rs 820

2. Amount = Rs 35 152. CI = Rs 3902

3. Amount = Rs 14792, CI = Rs 1992

4. Amount = Rs 194481, CI = Rs 34481

5. Amount = Rs 49130, CI = Rs 8170

6. Rs 23877

7. Rs 21218

8. Rs 577

9. Rs 32805

10. Rs 45697

**● Compound Interest**

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**Compound Interest with Periodic Deductions**

**Compound Interest by Using Formula**

**Compound Interest when Interest is Compounded Yearly**

**Compound Interest when Interest is Compounded Half-Yearly**

**Compound Interest when Interest is Compounded Quarterly**

**Variable Rate of Compound Interest**

**Difference of Compound Interest and Simple Interest**

**Practice Test on Compound Interest**

**Uniform Rate of Growth and Depreciation**

**● Compound Interest - Worksheet**

**Worksheet on Compound Interest**

**Worksheet on Compound Interest when Interest is Compounded Half-Yearly**

**Worksheet on Compound Interest with Growing Principal**

**Worksheet on Compound Interest with Periodic Deductions**

**Worksheet on Variable Rate of Compound Interest**

**Worksheet on Difference of Compound Interest and Simple Interest**

**Worksheet on Uniform Rate of Growth**

**Worksheet on Uniform Rate of Depreciation**

**Worksheet on Uniform Rate of Growth and Depreciation**

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