Multiple choice

A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352, then the sum lent at 8% is

  1. Rs. 2900

  2. Rs. 2200

  3. Rs. 2400

  4. Rs. 3100
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount at 8%. Then (4000-x) is at 10%. 0.08x + 0.10(4000-x) = 352. 0.08x + 400 - 0.10x = 352. -0.02x = -48. x = 2400.

AI explanation

Let the sum lent at 8% be x, making the sum lent at 10% equal to 4000 minus x. The total annual interest is 352, so 8x divided by 100 plus 10 multiplied by 4000 minus x divided by 100 equals 352. Multiplying by 100 gives 8x plus 40000 minus 10x equals 35200, which means 2x equals 4800. Therefore, the sum lent at 8% is 2400.

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