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elect the correct answerP Q and R entered into partnership P invested 1 2/7 times as much as Q invested and Q invested 1 5/9 times of what R invested. All of them invested for equal period of time. If at the end of the year the profit earned is RS. 77,080. What is the share of Q?OptionsRS. 27,120RS. 24,880RS. 26,840RS. 25,520RS. 26,320

Question

elect the correct answerP Q and R entered into partnership P invested 1 2/7 times as much as Q invested and Q invested 1 5/9 times of what R invested. All of them invested for equal period of time. If at the end of the year the profit earned is RS. 77,080. What is the share of Q?OptionsRS. 27,120RS. 24,880RS. 26,840RS. 25,520RS. 26,320

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Solution

Let's solve the problem step by step:

  1. Let's assume that R's investment is x.
  2. Q's investment is 1 5/9 times of what R invested, which means Q's investment is (14/9)x.
  3. P's investment is 1 2/7 times as much as Q invested, which means P's investment is (9/7)(14/9)x = (18/7)x.
  4. Since all of them invested for an equal period of time, their share of the profit will be directly proportional to their investments.
  5. The total investment is x + (14/9)x + (18/7)x = (77/63)x.
  6. The share of Q will be (14/9)x / (77/63)x * 77080 = (14/9) / (77/63) * 77080 = 26840.

Therefore, the share of Q is RS. 26,840.

This problem has been solved

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