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An amount becomes 9 times in 32 years when kept in a scheme of simple interest. In how many years will it become 19 times?1). 722). 643). 784). 84 |
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Answer» Let P = principle, N = time and R = rate percent per annum Then, Simple interest = (P × N × R)/100 Given, An AMOUNT becomes 9 times in 32 years when kept in a scheme of simple interest. ⇒ Amount = S.I + Principle ⇒ 9P = (P × 32 × R) /100 + P ⇒ 900P = 32PR + 100P ⇒ 800 = 32R ⇒ R = 800/32 ⇒ R = 25% Then, Amount = S.I + Principle ⇒ 19P = (P × N × 25)/100 + P ⇒ 19P = NP/4 + P ⇒ 19 = N/4 + 1 ⇒ 76 = N + 4 ⇒ N = 76 - 4 ⇒ N = 72 ∴ In 72 years, amount will becomes 19 times its principle. |
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