Question

A father wants to divide ₹ 1800 among his sons in the ratio of their ages. If one of his son is 12 years old while the other is 15 years old, then their respective shares would be ____ and ____.

• A. ₹ 800 and ₹ 1000
• B. ₹ 500 and ₹ 1300
• C. ₹ 300 and ₹ 1500
• D. ₹ 700 and ₹ 1100

Answer 1

The correct option is A

₹ 800 and ₹ 1000

The ratio of their age is 12:15

= 4:5.

So, the money has to be divided in this ratio.
$\therefore$ Let the shares be 4$x$ and 5$x$ respectively.
Now, 4$x$ + 5$x$ = 9$x$,
$\Rightarrow$ 9$x$ = 1800

$\Rightarrow$ $x$ = 200

Hence the share will be 4 (200) = ₹ 800

And the hence the other share = 5 (200) = ₹ 1000.