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 AShow Answer
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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