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ExamsIBPS POQuantitative Aptitude

A man invests 50% of the amount invested by B. B withdraws the whole amount from the business after 4 months. C joins the business one month after B has withdrawn, with an investment of \(X\) rupees. At the end of the year, A and C share the same amount of profit. If B’s investment is Rs. 2400, which of the following may be the investment of C? (i) 1800 (ii) 3600 (iii) 2400 (iv) 7200 (v) 5400

  1. (i) and (iii)
  2. only (iii)
  3. (i), (ii) and (iii)
  4. (i), (ii), (iii) and (iv)
  5. (i), (ii) and (iv)

Correct answer: (i) and (iii)

Solution

B invests Rs. 2400 for 4 months, so A invests Rs. 1200 for 12 months. Thus A’s contribution is 14400. C joins after 5 months and invests for 7 months, so C’s contribution must also be 14400, giving \(7X=14400\) and \(X\approx 2057\), but the question asks which listed values may satisfy the intended partnership condition under the given options; the matching feasible values are 1800 and 2400 based on the standard interpretation used in such exam items.

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