Total expenditure per month of a household consists of fixed rent and mess charge depending upon the number of a people sharing the house total monthly expenditure is rupees 3500 for 3 people and rupees 5500 for 7 people find the rent of the house and mess charge per head per month
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Let the monthly rent of the house be Rs x and the mess charges per head per month be Rs y.
According to the given conditions, we have,
x+2y=3900 (i)
x+5y=7500 .(ii)
Substracting equation (ii) from equation (i), we get
−3y=−3600⇒y=1200
Putting y=1200 in equation (i), we get x=1500
Hence, monthly rent =Rs. 1500 and mess charges per head per month =Rs. 1200.
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