Multiple choice

Out of a sum of Rs 850, a part was lent at 6% SI and the other at 12% SI. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years, then the second sum is

  1. 170

  2. 340

  3. 420

  4. 680

  5. 520
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A Correct answer
Explanation

Let first part = x, second part = (850-x). SI on first: x × 6% × 2 = 0.12x. SI on second: (850-x) × 12% × 4 = 0.48(850-x). Equating: 0.12x = 0.48(850-x), 0.12x = 408 - 0.48x, 0.60x = 408, x = 680. Second part = 850 - 680 = Rs 170.

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