Question

moses paid sh 150 for a shirt after getting a discount of 10 percent. the shopkeeper made a profit of 20 percent on the sale of the shirt. what percentage would the shopkeeper have made if no discount was allowed?

Answer 1

Moses paid sh 150 for a shirt after getting a discount of 10 percent mean:

sh 150 = 100% - 10% = 90% = 90 /100 = 0.9 of original price

sh150 = 0.9 of original price

Divide both sides by 0.9

sh150 / 0. 9 = 0.9 of original price / 0.9

sh 166.666 = original price

The shopkeeper made a profit of 20 percent on the sale of the shirt.

20 percent = 20% = 20 / 100 = 0.2

The shopkeeper made a profit of 0.2 ∙ 166.666 = sh 33.333 if no discount was allowed.