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Rs. 900 is divided among A, B, C the division is such that $$\frac{1}{2}$$ of A's money = $$\frac{1}{3}$$ of B's money = $$\frac{1}{4}$$ of C's money. Find the amount ( in rupees) received by A, B, C = ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \Rightarrow \frac{1}{2}{\text{A}} = \frac{1}{3}{\text{B}} = \frac{1}{4}{\text{C}} \cr
& \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr
& \,\,\,\,\,\,\,\,2\,\,:3:4{\text{ }} \cr
& 2x + 3x + 4x = 900 \cr
& \Rightarrow 9x = 900 \cr
& \Rightarrow x = 100 \cr
& {\text{A}} = 200 \cr
& {\text{B}} = 300 \cr
& {\text{C}} = 400 \cr} $$
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