Question

14. While arranging the party, the expenses are partly fixed & partly variable according to no. of people when there are300 people the expenses are Rs. 16,500. Now the fixed charges are decreases by 33.33% & variable charges alsodecreases by 20 %. If the new expenses are 3500 less than previous one then what were the fixed charges earlier?(a) Rs. 500(b) Rs. 1200(c) Rs. 1500(d) Rs. 2000​

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

let x be the fixed charge and y be the variable charge.

Reduced Fixed price =

Reduced Variable price =

According to the Question,

x + 300y = 16500 .........................(1)

0.6667x + 300 × 0.8y = 13000

0.6667x + 240y = 13000 ...................(2)

Now solving the system of equation we get value of x and y.

We solve them graphically.

points for equation (1),

y = 0 ⇒ x = 16500  ⇒ ( 16500 , 0 )

y = 1 ⇒ x = 16000  ⇒ ( 16000 , 1 )

points for equation (2),

x = 0 ⇒ y = 13000/240  ⇒ ( 13000/240 , 0 )

y = 0 ⇒ y = 13000/0.6667  ⇒ ( 13000/0.6667 , 0 )

From the graph, Point of intersection is ( 1500.375 , 49.99 ) ≈ ( 1500 , 50 )

x = 1500 , y = 50

Therefore, Option C is correct.