Multiple choice

Richard invested Rs. 13,900 by dividing the amount in two businesses - A and B. He invested some amount in business A at 14% p.a. simple interest and remaining amount in business B at 11% p.a. simple interest, respectively. If he earned Rs. 3,568 as the total interest after the end of 2 years, then find the amount of money he invested in business B.

  1. Rs. 5,100

  2. Rs. 5,400

  3. Rs. 5,500

  4. Rs. 5,600

  5. Rs. 5,700
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the amount in B. Then (13900-x) is in A. Interest = (13900-x)*0.14*2 + x*0.11*2 = 3568. Solving for x: 3892 - 0.28x + 0.22x = 3568, so 0.06x = 324, x = 5400.

AI explanation

Let the amount invested in business B be x, making the investment in business A equal to (13900 minus x). The total simple interest earned in 2 years is (13900 minus x) x 14 x 2/100 plus x x 11 x 2/100, which equals 3568. Simplifying this equation gives 389200 minus 28x plus 22x = 356800, leading to 6x = 32400. Solving for x gives the investment in business B as Rs. 5,400.

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