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Arjun marks the price of his article 50% more than its cost price. If he sells the article for ₹86,580 after allowing a discount of 26%, then wha
Question

Arjun marks the price of his article 50% more than its cost price. If he sells the article for ₹86,580 after allowing a discount of 26%, then what will be the cost price (in ₹) of the article?​

A.

77,999

B.

78,002

C.

78,003

D.

78,000

Correct option is D

Given:

- Marked Price is 50% more than the Cost Price.
- Selling Price after a 26% discount is ₹86,580. 

Formula Used:
Marked Price (MP) = Cost Price (CP) + 50% of Cost Price = 1.5 × CP
Selling Price (SP) = Marked Price × (1 - Discount Percentage)
Solution:
 Let the Cost Price (CP) be x.
Marked Price (MP) = 1.5 × x.
Selling Price after Discount:
Selling price after a 26% discount = ₹86,580.
The formula for selling price is: SP = MP × (1 - 26/100)
SP = 1.5 × x × 0.74 = 86,580.
86,580 = 1.11 × x.
x = 86,580 / 1.11 = ₹78,000.
The cost price (CP) of the article is ₹78,000.

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