Multiple choice

$\dfrac{1}{4}$th of a sum is invested at 3% simple interest, $\dfrac{1}{3}$rd at 4% and the remainder at 5%. If the total yearly interest is Rs.150, the sum is-

  1. Rs. 4,000

  2. Rs. 3,600

  3. Rs. 3,000

  4. Rs. 5,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the sum be x. The interest is (x/4 * 0.03) + (x/3 * 0.04) + (5x/12 * 0.05) = 150. Solving this gives (0.09x + 0.16x + 0.25x) / 12 = 150, which simplifies to 0.5x / 12 = 150, so x = 3600.

Keep practicing — related questions