Q16 of 186 Page 4

The total expenditure per month of a household consists of a fixed rent of the house and the mess charges, depending upon the number of people sharing the house. The total monthly expenditure is Rs. 3,900 for 2 people and Rs. 7,500 for 5 people. Find the rent of the house and the mess charges per head per month.

Let fixed rent of the house = Rs. x

And the mess charges per hesd per month = Rs. y


According to the question,


x + 2y = 3900 …(i)


and x + 5y = 7500 …(ii)


On subtracting Eq. (i) from Eq. (ii), we get


x + 5y – x – 2y = 7500 – 3900


⇒ 3y = 3600


⇒ y = 1200


On putting the value of y = 1200 in Eq. (i), we get


x + 2 (1200) = 3900


⇒ x + 2400 = 3900


⇒ x = 1500


Hence, fixed rent of the house is Rs. 1500 and the mess charges per head per month is Rs. 1200.


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