Multiple choice

A man deposits £200 for 3 years in a bank. If the rate of interest is 5% p.a compounded annually, find the amount that he will receive at the end of 3 years.

  1. £229.67

  2. £231.53

  3. £234.92

  4. £238.32

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B Correct answer
Explanation

Amount = P(1 + r/100)^n = 200(1 + 5/100)^3 = 200(1.05)^3 = 200 * 1.157625 = 231.525. Rounded to two decimal places, this is 231.53.

AI explanation

Using the compound amount formula A = P(1 + R/100)^n, we substitute the principal of 200, the rate of 5%, and the time of 3 years to get A = 200(1 + 5/100)^3. This simplifies to 200 multiplied by the cube of 1.05, which is 200 multiplied by 1.157625. Calculating this gives the final maturity amount as 231.53.