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A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does shopkeeper pay for an article whose ma
Question

A shopkeeper allows a discount of 40% on his articles and still makes a profit of 20%. How much cost price does shopkeeper pay for an article whose marked price is Rs. 2,400?

A.

Rs. 1,728

B.

Rs. 1,200

C.

Rs. 1,440

D.

Rs. 1,132

Correct option is B

Given:
The marked price of the article = ₹2,400
Discount allowed = 40%
Profit made = 20%
Formula Used:
Selling price = Marked price(MP) - Discount allowed
Profit = Selling price(SP) - Cost price(CP)
Solution:
According to question
Let MP be 100x
Discount= 40%
Selling Price = 100x - 40of 100x = 60x
From this SP = 60x, Still makes profit = 20%
So, CP = 60x×\times120100\frac{120}{100}​ = 50x

So, 100x = 2400
CP =50x = 2400 ÷ 100 × 50 = 1200
Alternate Solution:

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