Question : The average monthly expenditure of a family for the first four months is Rs. 2,570 and for the next three months Rs. 2,490, and for the last five months Rs. 3,030. If the family saves Rs. 5,320 during the whole year, the average monthly income of the family during the year is:
Option 1: Rs. 3,000
Option 2: Rs. 3,185
Option 3: Rs. 3,200
Option 4: Rs. 3,580
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Correct Answer: Rs. 3,185
Solution : Sum of expenditure of first 4 months = 4 × 2570 = 10,280 Sum of expenditure of next 3 months = 3 × 2490 = 7,470 Sum of expenditure of last 5 months = 5 × 3030 = 15,150 Savings = 5,320 We know that, Total income = expenditure + savings = 10,280 + 7,470 + 15,150 + 5,320 = 38,220 So, monthly income $=\frac{\text{Total income}}{12}=\frac{38220}{12}=$ 3,185 Hence, the correct answer is Rs. 3,185.
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