Discussion
Kapil saves 18 % of his income. If his income increases by 6.65 % and savings decrease by 20 %, then by what percent does his expenditure increase?
Answer: B
His expenditure increases by 12.5 %. Let the income be 100. Savings are 18 and expenditure is 82. The income rises by 6.65 % to 106.65, and the savings fall by 20 % to 14.4.
\[ \text{New expenditure} = 106.65 - 14.4 = 92.25 \]
\[ \frac{92.25 - 82}{82} \times 100 = 12.5\% \]
The options 12 %, 10.5 % and 10 % are not the ratio of the rise of 10.25 to the original expenditure of 82. As a check, the new income of 106.65 equals the new expenditure of 92.25 plus the new savings of 14.4, and the old income of 100 equals 82 plus 18.
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