Question 53

The income of Raju is 20% more than his expenditure. If his income increases by 60% and his expenditure increases by 70%, then by what percent does his savings increase/decrease?

Solution

Let the expenditure of Raju=100Rs.

So, income of Raju= 120Rs.

Hence, the saving amount=20Rs.

When the income was increased by 60%, then the new income amount$$=\dfrac{120\times 160}{100}=192$$Rs.

The increased expenditure$$=\dfrac{170\times 100}{100}=170$$Rs.

Hence, the new saving amount$$=192-170=22$$Rs

Hence, the required percentage $$=\dfrac{(22-20)\times 100}{20}=\dfrac{2\times 100}{20}=10\%$$


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