Question 73

The average monthly expenditure of a family is ₹ 8160 for first 2 months, ₹ 12780 for next 5 months and ₹ 14280 for 5 months. If the family saves ₹ 66300 in the whole year, then what will be the average monthly income of the family?

Solution

Average monthly expenditure for 2 months = Rs.8160
Total expenditure for 2 months = 8160*2 = Rs.16320
Average monthly expenditure for 5 months = Rs.12780
Total expenditure for 5 months = 12780*5 = Rs.63900
Average monthly expenditure for 5 months = Rs.14280
Total expenditure for 5 months = 14280*5 = Rs.71400
Then, Total expenditure for 12 months = Rs.16320+Rs.63900+Rs.71400 = Rs.151620
Given, Savings for 12 months = Rs.66300
Then, Income for 12 months = Rs.151620+Rs.66300 = Rs.217920
Therefore, Average monthly income = $$\dfrac{Rs.217920}{12} = Rs.18160$$


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