Average monthly expenditure of a family for first four months is Rs., 2570 , for next three months R

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The average monthly expenditure of a family for the first four months is $Rs.\, 2570$, for the next three months $Rs.\, 2490$ and for the last five months $Rs.\,3030.$ If the family saves $Rs.\, 5320$ during the whole $year,$ the average monthly income of the family during the year is (in $Rs.\,$)

A

$3000$

B

$3185$

C

$3200$

D

$3580$

Solution

Total annual expenditure of the family

$=Rs.\,(4 \times 2570+3 \times 2490+5 \times 3030)$

$=Rs.\,(10,280+7470+15,150)=Rs.\, 32,900$

Total income

$=Rs.\,(32,900+5320)=Rs.\, 38,220$

Required average monthly income

$=Rs.\, \frac{38220}{12}=₹ 3185$

Standard 13

Quantitative Aptitude

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