Multiple choice

Sumit lent a sum of Rs. 3100 partly at 4% per annum and partly at 9% per annum simple interest. The total interest received after 4 years was Rs. 540. What would be the ratio of the amount lent at 4% to that lent at 9%?

  1. 14 : 11

  2. 144 : 11

  3. 11 : 144

  4. 124 : 15

  5. 15 : 124
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the amount at 4%. (x * 4 * 4)/100 + ((3100-x) * 9 * 4)/100 = 540. 16x + 111600 - 36x = 54000. 20x = 57600. x = 2880. Amount at 9% = 3100 - 2880 = 220. Ratio = 2880:220 = 288:22 = 144:11.

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