Multiple choice

An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?

  1. Rs.3200

  2. Rs.2800

  3. Rs.2900

  4. Rs.3000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let shares be 3x, 7x, and 12x. The difference between P and Q is 7x - 3x = 4x = 2400, so x = 600. The difference between Q and R is 12x - 7x = 5x = 5 * 600 = 3000.

AI explanation

The difference between the shares of P and Q corresponds to 7 - 3 = 4 parts of the ratio, which equals Rs. 2400. This means one part of the ratio equals 2400 / 4 = 600. The difference between the shares of Q and R corresponds to 12 - 7 = 5 parts, so the difference is 5 * 600 = Rs. 3000.

Keep practicing — related questions