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ExamsIBPS POGeneral Awareness

P, Q, and R started a business with their investments in the ratio $3:5:1$ respectively. After 5 months, P invested the same amount as before, but Q withdrew $\tfrac{2}{5}$ of their investment. If the total profit at the end of one year is Rs. 3,450, find the profit earned by R.

  1. Rs.315
  2. Rs.420
  3. Rs.360
  4. Rs.540

Correct answer: Rs.360

Solution

In partnership problems, profit is divided in proportion to capital multiplied by time. After 5 months, P continues with the same investment, while Q's investment reduces to $\tfrac{3}{5}$ of the original; R remains unchanged throughout. Using the time-weighted investments, R's share comes out to Rs. 360.

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