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P gave Rs.12000 for starting a business.Q gave Rs.16000. What will be share of profit of R after 2 years if R comes after 8 months with his Rs.15000 and profit earned by P, Q and R is Rs.45600?Rs.24000Rs.12000Rs.6000Rs.18000

Question

P gave Rs.12000 for starting a business.Q gave Rs.16000. What will be share of profit of R after 2 years if R comes after 8 months with his Rs.15000 and profit earned by P, Q and R is Rs.45600?Rs.24000Rs.12000Rs.6000Rs.18000

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Solution

To solve this problem, we need to calculate the ratio of their investments, which is based on the amount of money they invested and the time period for which they invested.

  1. P's investment: Rs. 12000 for 24 months (2 years) = 12000*24 = 288000
  2. Q's investment: Rs. 16000 for 24 months (2 years) = 16000*24 = 384000
  3. R's investment: Rs. 15000 for 16 months (2 years - 8 months) = 15000*16 = 240000

Now, let's calculate the ratio of their investments: P:Q:R = 288000:384000:240000 This simplifies to 6:8:5

The total profit is Rs. 45600. To find R's share, we divide his part of the ratio by the total parts and multiply by the total profit:

R's share = (5 / (6+8+5)) * 45600 = Rs. 12000

So, the share of the profit for R is Rs. 12000.

This problem has been solved

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