A certain amount of Rs 8000 was lent out at 8% per annum and the rest amount is lent out at 18% per annum. After 5 years the total interest (simple intersest) received from the both amounts is Rs4800. What is the ratio of the amount lent out at 8% to the total amount?
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3 : 5
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2 : 5
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3 : 2
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5 : 3
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None of these
A
Correct answer
Explanation
Let amount at 8% be x. Amount at 18% is (8000-x). Simple interest after 5 years: SI at 8% = x × 8% × 5 = 0.4x. SI at 18% = (8000-x) × 18% × 5 = 0.9(8000-x) = 7200 - 0.9x. Total SI = 0.4x + 7200 - 0.9x = 7200 - 0.5x = 4800. Solving: 0.5x = 2400, x = 4800. Ratio of amount at 8% to total = 4800:8000 = 3:5. Answer A is correct.