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A sum of Rs. 2500 was lent partly at 8% per annum simple interest and partly at 5% per annum simple interest. If the total interest received after 3 years was Rs. 519 then find the ratio in which the sum is lent at 8% and 5% per annum.

A sum of Rs. 2500 was lent partly at 8% per annum simple interest and partly at 5% per annum simple interest. If the total interest received after 3 years was Rs. 519 then find the ratio in which the sum is lent at 8% and 5% per annum. Correct Answer 16 : 9

Let the sum lent at 8% be ‘x’ and the sum lent at 5% be ‘(2500 – x)’

⇒ /100 + /100 = 519

⇒ 24x/100 + 375 – 15x/100 = 519

⇒ 9x/100 = 144

⇒ x = 1600

⇒ Sum lent at 8% = Rs. 1600 and Sum lent at 5% = Rs. 900

∴ Ratio = 16 : 9

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