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X and Z invest capital in the ratio of 2 : 1 while X and Y invest capital in the ratio of 3 : 2. If their annual profit is Rs. 157300 then what is Y share ?

a) Rs. 48400
b) Rs. 58809
c) Rs. 48810
d) Rs. 47782

Answer: a
Explanation: X : Z = 2 : 1
X : Y = 3 : 2
X : Z = 2 : 1 (multiply with 3)
X : Y = 3 : 2 (multiply with 2)
i.e X : Z = 6 : 3
X : Y = 6 : 4
∴ X : Y : Z = 6 : 4 : 3
(6 + 4 + 3) units = Rs.157300
13 units = Rs.157300
1 unit = Rs.12100
4 units = Rs.12100 × 4 = Rs. 48400
Share of Y = Rs. 48400

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