Question Details

A shopkeeper marks an article 60% above cost price. He gives a discount of 25%. Find the profit percentage.

Options

A

10%

B

20%

C

5%

D

30%

Show Answer

Correct Answer :

Option B

20%

Solution :

The correct option is 20%.

Step-by-Step Explanation:

Step 1: Assume a base Cost Price (CP)
Let the Cost Price of the article be CP=100.

Step 2: Calculate the Marked Price (MP)
The shopkeeper marks the article 60% above the cost price.
Marked Price (MP)=CP+(60% of CP)

MP=100+(60100×100)=100+60=160

Step 3: Calculate the Selling Price (SP) after discount
A discount of 25% is given on the Marked Price.
Discount=25% of MP=25100×160=40

Selling Price (SP)=MP-Discount=160-40=120

Step 4: Calculate the Profit Percentage
Profit=SP-CP=120-100=20

Profit Percentage=(ProfitCP×100)%=(20100×100)%=20%

Thus, the profit percentage is 20%.

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