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. $x+10y=840;x+15y=600$
• B. $x+10y=600;x+15y=840$
• C. $10x+15y=600;15x+10y=840$
• D. $10x=600;15y=840$

Answer 1

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 $\times$ 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 $x+15y=840$