The total expenditure per month of a household consist 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.

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2014-10-11T05:30:51+05:30

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Monthly  expenditure of two people = rent + 2 * mess charges = Rs 3900
Monthly expenditure for 5 people = rent + 5 * mess charges = Rs 7500

Subtract first equation from the second..

(  5-2) = 3 people's mess charges = Rs 7500 - 3900 = Rs  3,600 
  one persons mess charges = 3600/3 = Rs 1,200


Monthly expenditure for two people =  rent + 2 * 1200 = Rs 3900
                 rent = Rs 3900 - 2400
                 rent = Rs 1,500 

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