ssccglapex

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 boarders 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 Answer: Option B
Show Answer

Solution(By Apex Team)

Let the fixed cost be Rs. x and the variable cost be Rs. y per boarder. Then, x + 25y = 700 × 25 ⇒ x + 25y = 17500…..(i) x + 50y = 600 × 50 ⇒ x + 50y = 30000…..(ii) Subtracting (i) from (ii), we get: 25y = 12500 ⇒ y = 500 Putting y = 500 in (i), we get: x = 5000 ∴ Total expenses of 100 boarders = Rs. (5000 + 500 × 100) = Rs. 55000 Hence, average expense $\begin{array}{l} =\text { Rs. } \large\frac{55000}{100} \\ =\text { Rs. } 550 \end{array}$

Related Questions On Average


Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

A. 20
B. 21
C. 28
D. 32
Show Answer

Find the average of all the numbers between 6 and 34 which are divisible by 5.

A. 18
B. 20
C. 24
D. 30
Show Answer

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years
Show Answer

If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12
Show Answer



More Related Questions On Average