Question

A trader marks his goods such that he can make 32% profit after giving 12% discount however a customer availed 20% discount instead of 12% what is the new profit percentage of trader

Answer 1

Answer:

20%

Step-by-step explanation:

Let say Marked Price = M

Cost Price = C

12 % discount on Marked Price = (12/100)M = 0.12M

Selling Price = M - 0.12M = 0.88M

Profit on cost price = 32 %

32 % Profit = (32/100)C = 0.32C

Selling Price = C + 0.32C = 1.32C

0.88M = 1.32C

=> 2M = 3C

=> M = 1.5C

Discount offered = 20 %

Selling Price = M - (20/100)M = 0.8M

0.8M = 0.8 * 1.5C = 1.2C

Profit = 1.2C - C = 0.2C

Profit % = (0.2C/C) * 100 = 20 %