Question

Rs. $510$ are divided among A, B and C in such a way that A gets $\frac{2}{3}$ of what B gets, and B gets $\frac{1}{4}$ of what C gets. Find the share of each.

• A. Rs.$60,$ Rs.$90,$ Rs. $360$
• B. Rs.$150,$ Rs.$300,$ Rs. $60$
• C. Rs.$120,$ Rs.$240,$ Rs. $150$
• D. Rs.$50,$ Rs.$90,$ Rs. $100$

Answer 1

Answer: (A)

Rs.$60,$ Rs.$90,$ Rs. $360$

Let C gets Rs $x$

Then B gets $=\frac{1}{4}\times x=\frac{x}{4}$

And A gets $=\frac{x}{4}\times \frac{2}{3}=\frac{2x}{12}$

But total is Rs $510$

$\therefore x+\frac{x}{4}+\frac{2x}{12}=510$

$\Rightarrow 12x+3x+2x=6120$

$\Rightarrow 17x=6120$

$\Rightarrow x=360$

Then C gets Rs $360$

And B gets $=\frac{360}{4}=90$ Rs

And A gets $=\frac{2\times 360}{12}=60$Rs