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Aman'S Income is 20% Less than that of Anil. How Much Percent is Anil'S Income More than Aman'S Income? - Mathematics

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Question

Aman's income is 20% less than that of Anil. How much percent is Anil's income more than Aman's income?

Numerical
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Solution

Let Anil's income be x.
Then, Aman's income \[= x - \frac{20x}{100}\]
\[ = \frac{8x}{10}\]
Difference in the incomes of Anil and Aman \[= x - \frac{8x}{10}\]
\[ = \frac{2x}{10}\]
∴ Percentage of the difference in the incomes of Anil and Aman to that of Aman's income \[= \left( \frac{2x}{10} \right)/\left( \frac{8x}{10} \right) \times 100\]
\[ = \frac{1}{4} \times 100\]
\[ = 25 \%\]

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Chapter 12: Percentage - Exercise 12.2 [Page 10]

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RD Sharma Mathematics [English] Class 8
Chapter 12 Percentage
Exercise 12.2 | Q 18 | Page 10
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