Question

By selling an umbrella for Rs. 300 a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the market price. Find his gain percent during the sale season

Answer 1

Answer:

8% gain

Step-by-step explanation:

Let C be the cost price.

The marked price gives a 20% gain, so the marked price is

  M = 120% of C  =  1.2 × C

Giving a discount of 10% off the marked price, the selling price is

  S = 90% of M = 0.9 × M = 0.9 × 1.2 × C = 1.08 × C = 108% of C.

So the shopkeeper's gain in the sale season is 8%.

N.B. The given information that the marked price is Rs. 300 is irrelevant!

Answer 2

Please see the attachment