Question

Rs.180 are to be divided among the three children in the ratio $\frac{1}{3}:\frac{1}{4}:\frac{1}{6}$ Find the share of each child.

Answer 1

We have,

Total money $=Rs.180$

Ratio $\frac{1}{3}:\frac{1}{4}:\frac{1}{6}$

Total ratio

$=\frac{1}{3}+\frac{1}{4}+\frac{1}{6}$

$=\frac{4+3+2}{12}$

$=\frac{9}{12}=\frac{3}{4}$

The share of first child

$180\times \frac{\frac{1}{3}}{\frac{3}{4}}=180\times \frac{4}{9}$

$=80$

The share of second child

$180\times \frac{\frac{1}{4}}{\frac{3}{4}}=180\times \frac{1}{3}$

$=60$

The share of Third child

$180\times \frac{\frac{1}{6}}{\frac{3}{4}}=180\times \frac{4}{18}$

$=180\times \frac{2}{9}$

$=40$

Hence, this is the answer.