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A sum of Rs. 1550 was lent partly at 5% and partly at 8% pa simple interest. The total interest received after 5 yr was Rs. 500. Find the ratio of the money lent at 5% to that at 8%?1. 12 : 172. 17 : 123. 19 : 124. 16 : 15 |
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Answer» Correct Answer - Option 4 : 16 : 15 Given: Sum = Rs. 1550 Rate = 5% and 8% Time = 5 yrs SI = Rs. 500 Formula Used: S.I = P × r × t/100 Calculations: Let the sum lent at 5% be P Sum lent at 8% = (1550 - P) Then, (P × 5 × 5)/100 + [(1550 - P) × 8 × 5] /100 = 500 ⇒ 25P – 40P + 1550 × 40 = 50000 ⇒ -15P + 62000 = 50000 ⇒ -15P = 50000 – 62000 ⇒ -15P = -12000 ⇒ P = 800 Sum lent at 8% = 1550 – 800 = 750 required ratio = 800 : 750 = 16 : 15. ∴ The ratio of money lent at 5% to that at 8% is 16 : 15. |
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