Question

Divide $Rs.880$ between Rajan and Kamal in the ratio of $\frac{1}{5}:\frac{1}{6}$.

Answer 1

Sum of the ratio terms $=\frac{1}{5}+\frac{1}{6}$
$=\frac{6+5}{30}$
$=\frac{11}{30}$
Now, we have the following:
Rajan's share $=Rs.880\times \frac{\frac{1}{5}}{\frac{11}{30}}$
$=Rs.880\times \frac{1}{5}\times \frac{30}{11}$
$=Rs.880\times \frac{6}{11}$
$=Rs.80\times 6$
$=Rs.480$
Kamal's share $=Rs.880\times \frac{\frac{1}{6}}{\frac{11}{30}}$
$=Rs.880\times \frac{1}{6}\times \frac{30}{11}$

$=Rs.880\times \frac{5}{11}$
$=Rs.80\times 5$

$=Rs.400$