Question

Gagan (aged 10 years), Rohit (aged 12 years) and Sunil (aged 8 years) received Rs 600 from their uncle. Their uncle told them to divide the money amongst themselves according to the ratio of their ages. How much money did each of them receive?

• A. Gagan: Rs 200, Sunil: Rs 240, Rohit: Rs 160
• B. Gagan: Rs 250, Sunil: Rs 200, Rohit: Rs 300
• C. Gagan: Rs 240, Rohit: Rs 280, Sunil: Rs 200
• D. Gagan: Rs 200, Rohit: Rs 240, Sunil: Rs 160

Answer 1

The correct option is D Gagan: Rs 200, Rohit: Rs 240, Sunil: Rs 160

The money has to be distributed amongst Gagan, Rohit and Sunil in the ratio 10 : 12 : 8 = 5 : 6 : 4.
Let us suppose that Gagan gets Rs 5x, Rohit gets Rs 6x, and Sunil gets Rs 4x.

According to the question,
$5x+6x+4x=600$
$15x=600$
$\Rightarrow x=\frac{600}{15}=40$

$\therefore$ Gagan received $5x=5\times 40=Rs200$
Rohit received $6x=6\times 40=Rs240$
Sunil received $4x=4\times 40=Rs160$