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Question

The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.


A

10x+15y=600;15x+10y=840

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B

x+10y=600;x+15y=840

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C

x+10y=840;x+15y=600

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D

10x=600;15y=840

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Solution

The correct option is B

x+10y=600;x+15y=840


Let x denote the fixed cost and y denote the variable cost/hr.

Here, fixed cost + (variable cost/hr × no. of hours stayed) = Amount paid

For the first person, as he stayed for 10hrs

x+10y=600

For the second person, as he stayed for 15hrs

x+15y=840

Thus, the required equations are x+10y=600 and x+15y=840


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