Question

# The cost of a room in a hotel is partially fixed and partially varying with reapect to the number of hours. A person staying for 10 hours paid ₹600 and a person staying for 15 hours paid ₹840. Find the fixed cost and the variable cost per hour.

A
₹120, ₹48/hr
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B
₹120, ₹100/hr
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C
₹200, ₹48/hr
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D
₹200, ₹120/hr
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Solution

## The correct option is A ₹120, ₹48/hrLet the fixed cost be x and the variable cost per hour be y. Then, x+10y=600 …(1) x+15y=840 …(2) Subtracting equation (1) from equation (2), we have, 5y=240 ⇒y=48 Putting y=48 in equation (1), we get x+10×48=600 ⇒x=600−480 ⇒x=120 ∴ The fixed cost is ₹120 and the variable cost is ₹48/hr.

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