Question

An amount of hundred rupees is divided among two persons in the ratio $\frac{1}{10}:\frac{1}{15}$.How much money does each get?

Answer 1

Total amount to be divided $=$$₹100$

Amount to be divided among two persons in the ratio $\frac{1}{10}:\frac{1}{15}$

Convert the fraction ratio in simplest form:

Divide each term in $\frac{1}{10}:\frac{1}{15}$ by LCM of their denominator $10$ and $15$ which is $30$

$\frac{1}{10}\times 30:\frac{1}{15}\times 30=3:2$

Share of first person $=\frac{3}{3+2}\times 100=₹60$

Share of second person $=\frac{2}{3+2}\times 100=₹40$

Hence, one of them get $₹60$ and another get $₹40$