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
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.
Answer:-
(b)1500,1200
- The rent of house is 1500/-
- The mess charge per head is 7500/-
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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