Question : The following pie chart shows the monthly household expenditure of Family A under various heads. The monthly expenditure incurred for Family A is Rs. 50,000. Study the chart carefully and answer the question that follows.
What is the ratio of the combined monthly expenditure on Entertainment, Travel, and Miscellaneous to the average expenditure on Food, Education, Electricity, and Medicine?
Option 1: 69 : 125
Option 2: 69 : 124
Option 3: 124 : 69
Option 4: 31 : 69
Correct Answer: 124 : 69
Solution :
Here, 100% = Rs. 50,000
⇒ 1% represents = Rs. 500
Now, the monthly expenditure on Entertainment , travel and miscellaneous = (10% + 10% + 11%) = 31% of 50,000
⇒ $\frac{31}{100}$ × 50000 = Rs. 15500
Also, the monthly expenditure on Food, education, electricity, and medicine = (30% + 15% + 9% + 15%) = 69% of 50,000
⇒ $\frac{69}{100}$ × 50000 = Rs. 34,500
So, average expenditure = $\frac{34500}{4}$ = Rs. 8625
$\therefore$ Ratio = 15500 : 8625 = 124 : 69
Hence, the correct answer is 124 : 69.
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