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What principal on compound interest has their amount Rs. 650 in one year and Rs. 676 in two years?1. Rs. 5202. Rs. 5723. Rs. 6004. Rs. 625 |
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Answer» Correct Answer - Option 4 : Rs. 625 Given: Amount in one year = 650 Amount in two years = 676 Concept used: Amount = P(1 + R/100)T Calculation: Let the principal be x. For one year, ⇒ x(1 + R/100)1 = 650 ----(1) For two years, ⇒ x(1 + R/100)2 = 676 ----(2) Dividing equation (2) and (1), [x(1 + R/100)2]/[x(1 + R/100)1] = 676/650 ⇒ (1 + R/100) = 26/25 From equation (1), ⇒ x(26/25) = 650 ⇒ x = (650 × 25)/26 ⇒ x = 25 × 25 ⇒ x = 625 ∴ The principle is Rs. 625. |
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