Question
A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:
Answer: Option C
- Let the sum lent at 5% be Rs. x and that lent at 8% be Rs. (1550 – x). Then, Then, x x 5 x 3 100 + (1550 - x) x 8 x 3 100 = 300 15x - 24x + (1550 x 24) = 30000 9x = 7200 x = 800 Required ratio = 800 : 750 = 16 : 15
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- Let the sum lent at 5% be Rs. x and that lent at 8% be Rs. (1550 – x). Then, Then, x x 5 x 3 100 + (1550 - x) x 8 x 3 100 = 300 15x - 24x + (1550 x 24) = 30000 9x = 7200 x = 800 Required ratio = 800 : 750 = 16 : 15
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