Multiple choice

An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7, respectively. If the amount received by R is Rs. 4000 more than the amount received by Q, then what will be the total amount received by P and Q together?

  1. Rs. 8000

  2. Rs. 12,000

  3. Rs. 16,000

  4. Cannot be determined

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio P:Q:R = 3:5:7. Let amounts be 3x, 5x, 7x. R - Q = 2x = 4000, so x = 2000. P + Q = 3x + 5x = 8x = 8 * 2000 = 16000.

AI explanation

The difference between the shares of Q and R corresponds to a value of 2 parts in the given 3:5:7 ratio, which equals Rs. 4000. Therefore, 1 part of the ratio equals Rs. 2000. The combined amount of P and Q is 3 + 5 = 8 parts, which totals 8 * 2000 = Rs. 16000.