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The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?

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The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?
1). 200/7
2). 100/7
3). 300/7
4). 400/7


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1 answers

37 vote
Answered by on | Votes 37 |

⇒ (CI – SI)3/(CI – SI)2 = [P(R/100)2 × (300 + R)/100]/ P(R/100)2 = 23/7

⇒ (CI – SI)3/(CI – SI)2 = (300 + R)/100 = 23/7

⇒ (CI – SI)3/(CI – SI)2 = 2100 + 7R = 2300

⇒ 7R = 200

∴ R = 200/7

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