On selling 15 balls for ₹450, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹45.
Loss = C.P. - S.P.
S.P. = C.P. - Loss
Let the cost price of the ball is ₹x.
The c.p. of 15 balls = 15x
The c.p. of 5 balls = 5x
Loss = c.p. of 5 balls = 5x
Now, the s.p. = c.p. - loss
⇒ 450 = 15x - 5x
⇒ 450 = 10x
⇒ x = 45
Hence the c.p. of a ball is ₹45.