Multiple choice

A sum of Rs 1085 is lent out in two parts on Simple interest in such a way that the interest on one part at 9% for 3 years is equal to that on another part at 18% for 2 years. Find the two sums.

  1. Rs 620, Rs 465

  2. Rs 600, Rs 485

  3. Rs 520, Rs. 565

  4. Rs 630, Rs 655

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let parts be x and 1085-x. Interest: (x*9*3)/100 = ((1085-x)*18*2)/100. 27x = 36(1085-x) => 27x = 39060 - 36x => 63x = 39060 => x = 620. Other part = 1085-620 = 465.

AI explanation

Let the two parts be x and (1085 - x). The simple interest on the first part is x * 9 * 3 / 100, which equals 27x / 100. The simple interest on the second part is (1085 - x) * 18 * 2 / 100, which equals 36(1085 - x) / 100. Equating the two interests gives 27x = 36 * 1085 - 36x, meaning 63x = 39060. Solving this gives x = 620, making the other part 1085 - 620, which is 465. The two sums are Rs. 620 and Rs. 465.

Keep practicing — related questions