Multiple choice

By Dividing Rs 11800 among three friends P,Q,and R such that the ratio of the Shares of P&Q is 3:4 and that of Q and R is 5:6 find the P's share ?

  1. 2000

  2. 3000

  3. 4000

  4. 5000

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given P:Q = 3:4 and Q:R = 5:6, we normalize the ratio of P:Q:R to 15:20:24. The sum of parts is 15 + 20 + 24 = 59. P's share is (15/59) * 11800 = 15 * 200 = 3000.

AI explanation

The combined ratio of the shares of P, Q and R is found by equating the common value of Q. Multiplying the ratio 3:4 by 5 gives 15:20, and multiplying the ratio 5:6 by 4 gives 20:24. The combined ratio of P:Q:R is 15:20:24, which has a total of 59 parts. P's share is (15 / 59) * 11800 = 15 * 200 = Rs. 3000.

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