Question

A trader marked his goods at 20% above the cost price.If he allows his customer a 10% discount,find the profit per cent.​

Answer 1

8%

Explanation:

• Assume that the cost price is $100.
• Based on the cost price find the marked price.
• Find the selling price by detecting the discount from the marked price.
• Now, find the profit by subtracting the cost price from the selling price.

Let the cost price of the product be $100.

Marked price = (100+ increased %) * Cost price

`\sf = (100+20)/(100)*100\\\\\\=(120)/(100)*100\\\\= \$ 120`

Discount % = 10%

Selling price = (100 - discount)% * Marked price

`\sf = (100-10)/(100)*120\\\\\\=(90)/(100)*120\\\\\\= 9 * 12\\\\= \$108`

Profit = Selling price - cost price

= 108 - 100

= $8

`\sf Profit \% = (Profit)/(cost price)*100`

`\sf = (8)/(100)*100\\\\`

=8%

Answer: Profit percentage = 8%