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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: Option A
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Solution(By Apex Team)

$\begin{array}{l}\text{Given}\\ \text{X : Z = 2 : 1}\\ \text{X : Y = 3 : 2}\\ \\ \text{X : Z = 2 : 1 (multiply with 3)}\\ \text{X : Y = 3 : 2 (multiply with 2)}\\ \\ \text{i.e X : Z = 6 : 3}\\ \text{X : Y = 6 : 4}\\ \\ \text{∴ X : Y : Z = 6 : 4 : 3}\\ \text{According to the question}\\ \text{(6 + 4 + 3) units = Rs.157300}\\ \text{13 units = Rs.157300}\\ \text{1 unit = Rs.12100}\\ \text{4 units = Rs.12100 × 4 = Rs. 48400}\\ \text{∴ Share of Y = Rs. 48400}\end{array}$

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