Question

A shopkeeper sold 12 cameras at a profit of 20%
and 8 cameras at a profit of 10%. If he had sold
all the 20 cameras at a profit of 15%, then his profit
would have been reduced by * 72. The cost price
of each camera is
(1) 360
(2) 180
(3) 720
(4) 500​

Answer 1

the cost price of each camera is 360

Answer 2

Option 1 is correct answer.

Step-by-step explanation:

Let the cost price of the camera = x

Selling price of the 12 cameras = $\frac{120}{100 } x$ × 12

S.P. = 14.4 x ------  (1)

Similarly Selling price of the 8 cameras = 8.8 x ----- (2)

Similarly Selling price of the all 20 cameras = 20 × 1.15 x = 23 x ------ (3)

From the given information in the question

⇒ 14.4 x + 8.8 x - 23 x = 72

⇒ 0.2 x = 72

⇒ x = 360

This is the cost price of each camera.

Thus option 1 is correct answer.