If ₹ x are divided between A and B in the ratio a/b: c/d, then A gets rupees · ABC26GN3077
Subject: General Aptitude · Chapter: Ratio and Proportion
If ₹ $x$ are divided between $A$ and $B$ in the ratio $\frac{a}{b}: \frac{c}{d}$, then $A$ gets rupees
(a)$\frac{a d x}{a b+c d}$
(b)$\frac{a d x}{a d+b c}$
(c)$\frac{a b x}{a d+b c}$
(d)$\frac{a b x}{a c+b d}$
Answer
Explanation
$A: B=\frac{a}{b}: \frac{c}{d}=\left(\frac{a}{b} \times b d\right):\left(\frac{c}{d} \times b d\right)=a d: b c$. $$\text { ∴ A's share }=₹\left(\frac{a d x}{a d+b c}\right) \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.
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