Math, asked by Theking0123, 3 months ago

Question :-

The total expenditure per month of a household consists of a fixed rent of house and mess charges depending upon the number of people sharing the house. The total monthly expenditure is ≠ 3900 for 2 people and ≠7500 for 5 people. Find the rent of the house and the mess charges per head per month ?

(a) 1200,1500
(b) 1500,1200
(c) 1000,1700
(d) 1700,1000
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Answers

Answered by ItzMissHasini07
11

Answer:

Answer

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.

Answered by TheDiamondBoyy
8

Answer:-

(b)1500,1200

  • The rent of house is 1500/-
  • The mess charge per head is 7500/-

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Step by step Explaination:-

  • Let the rent of house be; X
  • Let the mess charge per head be; Y

ATQ;

The first eq. is ;

X+2Y=3900 _________(1)

The second eq. is ;

X+5Y=7500 _________(2)

By calculating the both equation (by elimination method)

We get Y=1200

Now placing the value of Y in eq (1)

We get;

X + 2(1200) = 3900

X + 2400 = 3900

X = 3900 - 2400

X = 1500

Therefore;

The rent of house is 1500/-

The mess charge per person is rupees 1200/-

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Hope it helps!!

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