a company purchased a product for $20 and displayed the market price as $30 and then gave 2 successive discounts of 10% .what is their profit is the product
Answers
Answer:
Statement of the given problem,
A product which cost $20 was being sold for $30. The merchant decided to reduce the price by 10%. After a while, he decided to reduce the price by another 10%. When he sold the product, how much profit did he make?
Basic assumptions
Let S denotes the reduced sell-price of the product.
Let P denotes the new profit percentage.
Hence from above data we get as follows,
S = (1 - 10/100)*(1 - 10/100)*30
or S = 0.90*0.90*30 = 24.30 ($)
P = 100*(S - C)/C
or P = 100*(24.30 - 20)/20 = 100*4.30/20 = 21.50% [Ans]
Given:
A company purchased a product for $20
Displayed the market price as $30
The company gave 2 successive discounts of 10%
To find :
The profit of the product.
Solution:
The selling price of the product before discount is $30
Reduction in 10% of discount is, 30 × = $3
Selling price after first discount is, 30 - 3 = $27
Then, the second reduction amount in 10% of discount is, 27 × = $2.7
Selling price after second discount is, 27 - 2.7 = $24.3
Profit = Selling price - Cost price
The Selling price of the product is $24.3
The cost price of the product is $20
Profit = 24.3 - 20
Profit = $4.3
Final answer:
The profit of the product is $4.3