Profit Sharing Calculation
The investments of P, Q, and R are in the ratio 12 : 82 : 38.
The total profit earned is ₹3,510.
We need to find the difference between the profit shares of Q and R.
Steps to Find the Difference
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Calculate the sum of the ratio parts:
Total parts = $12 + 82 + 38 = 132$
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Find the difference in the ratio parts between Q and R:
Difference in parts = Q's parts - R's parts
Difference in parts = $82 - 38 = 44$
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Calculate the value of one ratio part:
Value per part = Total Profit / Total Parts
Value per part = $\frac{₹3,510}{132}$
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Calculate the difference in profit shares:
Difference in Profit = Difference in parts $\times$ Value per part
Difference in Profit = $44 \times \frac{₹3,510}{132}$
Simplify the expression:
Difference in Profit = $\frac{44}{132} \times ₹3,510
Difference in Profit = $\frac{1}{3} \times ₹3,510
Difference in Profit = ₹1,170
Therefore, the difference between the shares of Q and R is ₹1,170.
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