Question : Direction: The following pie chart shows the monthly expenses for food, house rent, clothing, education, fuel, and miscellaneous. Study the pie chart and answer the question.
If the percentage of expense on food is $x$% of the total percentage of the expenditure of clothing, education, and fuel, then $x$ equals:
Option 1: 66
Option 2: $66\frac{1}{3}$
Option 3: $66\frac{2}{3}$
Option 4: 67
Correct Answer: $66\frac{2}{3}$
Solution :
Total expenditure on food = 30%
Total expenditure on cloth, education and fuel = (12 + 15 + 18)% = 45%
According to the problem,
30% = $x$% of (12 + 18 + 15)%
$⇒ 30 = \frac{x \times 45}{100}$
$⇒ x = \frac{30 \times 100}{45}$
$⇒ x = 66\frac{2}{3}$
Hence, the correct answer is $66\frac{2}{3}$.
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