Musa paid sh 180 for a shirt after getting a discount of 10%.The shopkeeper made a profit of 20% on the sale of this shirt.What percentage profit would the shopkeeper have made if no discount was allowed?.

Answer 1

Let's find out how much Musa initially paid before the discount was applied.

If Musa got a discount of 10%, it means he paid 100% - 10% = 90% of the original price.

So, 90% of the original price is equal to 180 shillings.

Let x be the original price of the shirt.
Then, 0.90*x = 180.
Dividing both sides of the equation by 0.90, we get x = 200 shillings.

Now, let's calculate the profit made by the shopkeeper when no discount was allowed.
If the shopkeeper sold the shirt for 200 shillings and made a 20% profit, it means the selling price was 100% + 20% = 120% of the cost price.
Thus, the selling price was (120/100)*200 = 240 shillings.

Hence, the shopkeeper would have made a 240 - 200 = <<240-200=40>>40 shilling profit.
To calculate the profit percentage, we divide the profit by the cost price and multiply by 100%:
Profit percentage = (40/200) * 100% = 20%. Answer: \boxed{20}.