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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 inter…

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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 %)?
  • A200/7
  • B100/7
  • C300/7
  • D400/7
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CCommunity
⇒ (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