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RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18A in Chapter 18 - Mean Median And Mode Of Ungrouped Data

Question 28 Mean Median And Mode Of Ungrouped Data Exercise 18A

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.

Answer:

We know that

Total earnings of the year = ₹ (3 × 18720 + 4 × 20340 + 5 × 21708 + 35340)

On further calculation

Total earnings of the year = ₹ (56160 + 81360 + 108540 + 35340)

So we get

Total earnings of the year = ₹ 281400

We know that

Average monthly income of the family = Total earning of the year/ Number of months

By substituting the values

Average monthly income of the family = 281400/ 12

So we get

Average monthly income of the family = ₹ 23450

Therefore, the average monthly income of the family is ₹ 23450.

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