The aggregate monthly expenditure of a family was ₹ 18720 during the first 3 months,

Question:

The aggregate monthly expenditure of a family was ₹ 18720 during the first 3 months, ₹ 20340 during the next 4 months and ₹ 21708 during the last 5 months of a year. If the total savings during the year be ₹ 35340 find the average monthly income of the family.

Solution:

The aggregate yearly expenditure of a family = Rs (18720 × 3) + Rs (20340 × 4) + Rs (21708 × 5)
 = Rs (56160 + 81360 + 108540)
 = Rs 246060

The total savings during the year = Rs 35340

The average yearly income = Rs 246060 + Rs 35340
 = Rs 281400

$\therefore$ The average monthly income of the family $=\frac{281400}{12}=\mathrm{Rs} 23450$

Hence, The average monthly income of the family is Rs 23450 .

 

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