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Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarder and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

(a) Rs. 540                               (b) Rs. 550                          (c) Rs. 570                  (d) Rs. 580


Question ID - 50913 | Toppr Answer

Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarder and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

(a) Rs. 540                               (b) Rs. 550                          (c) Rs. 570                  (d) Rs. 580

1 Answer - 5876 Votes

3537

Answer Key : (b) -

Let the fixed cost be Rs.  and the variable cost be Rs. per boarder.

Then,

               

Solving these two equations we get:

 Total expenses of 100 boarders = Rs. Rs. 55000.

Hence, the average expenses =  Rs. 550.



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