Question

The income of a man is increased in the ratio of $10:11$. If the increase in his income is $\mathrm{Rs}.600$ per month, find his new income.

Answer 1

Calculate the required income:

It is given that the income increases in the ratio of $10:11$.

So, the original income per month $=10x$

And, the increased income per month $=11x$

Now, according to the question, the increase in income is $\mathrm{Rs}.600$ per month.

i.e., increased income $-$ original income $=600$

$\Rightarrow$ $11x-10x=600$

$\Rightarrow$ $x=600$

Therefore, the increased income per month $=11x$

$\Rightarrow$ the increased income per month $=11\times 600$

$\Rightarrow$ the increased income per month $=6600$

Hence, the new income is $\mathrm{Rs}.6600$ per month.