A sum of ₹ 1250 is divided among A, B, C so that A gets 2/9 of B′ s share and C gets 3/4 of A′ s share. The… · ABC26GN3079

Subject: General Aptitude · Chapter: Ratio and Proportion

A sum of ₹ 1250 is divided among $A, B, C$ so that $A$ gets $\frac{2}{9}$ of $B^{\prime} s$ share and $C$ gets $\frac{3}{4}$ of $A^{\prime} s$ share. The share of $C$ is
(a)₹ 75
(b)₹ 90
(c)₹ 135
(d)₹ 150
Answer
Answer (as printed): D
Explanation
$A=\frac{2}{9} B, C=\frac{3}{4} A=\left(\frac{3}{4} \times \frac{2}{9}\right) B=\frac{1}{6} B$. $$A: B: C=\frac{2}{9} B: B: \frac{1}{6} B=4: 18: 3 .$$ C's share $=₹\left(1250 \times \frac{3}{25}\right)=₹ 150$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Ratio and Proportion

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