Question

The average monthly expenditure of a family for the first four months is rs. 2750, for the next three months is rs. 2940, and for the last five months rs. 3130. if the family saves rs. 5350 throughout year, find the average monthly income of the family for the year.

Answer 1

See the attach file for ans

Answer 2

Answer:

Rs.3401.67

Step-by-step explanation:

The average monthly expenditure of a family for the first four months is rs. 2750,

$Average = \frac{\text{expenditure of first four months}}{\text{No. of months}}$

$2750 = \frac{\text{expenditure of first four months}}{4}$

$2750  \times 4 =\text{expenditure of first four months}$

$11000=\text{expenditure of first four months}$

$Average = \frac{\text{expenditure of next three months}}{\text{No. of months}}$

$2940 = \frac{\text{expenditure of next three months}}{3}$

$2940 \times 3 = \text{expenditure of next three months}$

$8820 = \text{expenditure of next three months}$

$Average = \frac{\text{expenditure of last five months}}{\text{No. of months}}$

$3130 = \frac{\text{expenditure of last five months}}{5}$

$3130 \times 5 = \text{expenditure of last five months}$

[tex]15650 = \text{expenditure of last five months}[/tex]

So, total expenditure of 12 months = Rs.11000+Rs.8820+Rs.15650=Rs.35470

Yearly saving = Rs.5350

So, Total Income = Expenditure +Saving = Rs.35470+Rs.5350= Rs.40820

$Average = \frac{\text{Total income of 1 year }}{\text{No. of months}}$

$Average = \frac{40820}{12}$

$Average = 3401.666$

Hence  the average monthly income of the family for the year is Rs.3401.67