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X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?

Correct answer: E. None of these

  • A. 7
  • B. 6
  • C. 3
  • D. 4
  • E. None of these

Explanation

Let Z invest for t months. The investment-time products are Rs. 20000 x 12 = Rs. 240000, Rs. 25000 x 12 = Rs. 300000 and Rs. 30000t. Since Z receives Rs. 14000 out of Rs. 50000, 30000t/(540000 + 30000t) = 7/25, giving t = 7 months, so Z joined after 12 - 7 = 5 months. No option gives 5 months, making option e the only suitable choice; option a confuses the investment duration with the joining time.

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