Question : Divide Rs. 14136 among A, B, and C such that 2 times A's share, 3 times B's share and 5 times C's share are all equal. What is the share of C?
Option 1: Rs. 3680
Option 2: Rs. 456
Option 3: Rs. 2736
Option 4: Rs. 1413
Correct Answer: Rs. 2736
Solution :
Given: Divide Rs. 14136 among A, B and C such that 2 times A's share, 3 times B's share and 5 times C's share are all equal.
Let A's share, B's share and C's share are $x,y,$ and $z$ respectively.
According to the question,
$2x=3y=5z$
⇒ $x:y:z=\frac{1}{2}:\frac{1}{3}:\frac{1}{5}=15:10:6$
So, the share of C $=z=14136×\frac{6}{15+10+6}$
= $14136×\frac{6}{31}$
= Rs. 2736
Hence, the correct answer is Rs. 2736.
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