Multiple choice

A sum of Rs. 16,800 is divided into two parts. One part is lent at simple interest at a rate of 6% per annum and the other is lent at simple interest at a rate of 8% per annum. After 2 years, the total sum received is Rs. 19,000. The sum lent at the rate of 6% simple interest was

  1. Rs. 12,200

  2. Rs. 12,000

  3. Rs. 11,000

  4. Rs. 10,000

  5. None of these
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A Correct answer
Explanation

Let x be the sum at 6%. Then (16800-x) is at 8%. Interest = (x * 0.06 * 2) + ((16800-x) * 0.08 * 2) = 19000 - 16800 = 2200. 0.12x + 2688 - 0.16x = 2200 => 0.04x = 488 => x = 12200.

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