Question

A man earn $Rs.600$ per month more than his wife. One-tenth of man's salary and one-sixth of wife salary amounts to $Rs.1500$, which is saved every month. Find their salaries.

Answer 1

Let wife's salary be Rs. x $\Rightarrow$ Man's salary $=$Rs. $600$

Given, $\frac{1}{10}(x+600)+\frac{1}{6}\left(x\right)=1500$

$\Rightarrow x(\frac{1}{10}+\frac{1}{6})=1500-60$

$\Rightarrow x\left(\frac{16}{60}\right)=1440$

$\Rightarrow x=\frac{60\times 1440}{16}=$Rs. $5400$

$\Rightarrow$ Wife's salary $=$Rs. $5400$, man's salary $=$Rs. $6000$.