Question

Kunal sold a shirt at a loss of 10% . Had he sold it for Rs 60 more he would have gained 5% on it. Find the CP of the shirt.

Answer 1

Let the cost of the shirt be Rs x

Kunal sold the shirt at 10% loss

Hence cost of shirt after loss = x – 10% of x

= (90x/100) = (9x/10)

Gain on Rs x is 5%

Cost of shirt after the gain = x + 5% of x

= x + (5x/100)

= 21x/20

Hence (9x/10) + 60 = (21x/20)

(21x/20) – (9x/10) = 60

3x/20 = 60

x = 60 × (20/3) = 400

Hence the cost of the shirt is Rs 400.