A merchant marks his goods at Rs. 300 and allows a discount of 25%.

A merchant marks his goods at Rs. 300 and allows a discount of 25%.
Posted on 21-03-2023

Ques - A merchant marks his goods at Rs. 300 and allows a discount of 25%. If he still gains 12.5%, then the cost price of article is : 

(a) Rs. 220

(b) Rs. 200

(c) Rs. 240

(d) Rs. 260

Solution - 

MP = 300

Allows a discount of 25%.

SP = 300 × (75/100)

SP = 225

If he still gains 12.5%.

Profit = 12.5%

So,

He is selling the goods for 112.5% of the CP.

Here,

112.5% = 225

1% = 225/112.5

100% = (225/112.5) × 100

100% = 200

Therefore,

The cost price of article is Rs. 200.

Hence,

The correct answer is option (b) Rs. 200.

Thank You