Numerical

Shikha's income is 60% more than that of Shalu. What percent is Shalu's income less than Shikha's?

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#### Solution

Let Shalu's income be Rs x.

\[ \therefore\text{ Shikha's income = Rs } \left( x + \frac{60x}{100} \right) =\text{ Rs }\frac{160x}{100} =\text{ Rs }\frac{16x}{10}\]

Difference in the incomes of Shikha and Shalu \[= \frac{16x}{10} - x = \frac{16x - 10x}{10} =\text{ Rs }\frac{6x}{10}\]

Percentage of the difference in the incomes of Shikha and Shalu to that of Shikha's income \[= \frac{\frac{6x}{10}}{\frac{16x}{10}} \times 100 = \frac{600}{16} = 37 . 5 \% \]

∴ The income of Shalu is less than that of Shikha by 37 . 5 %.

Concept: Increase Or Decrease as Percent

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