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A dealer's cost price for each fan he would like to sell is ₹2,000. After allowing a discount of 20% on its marked price, he gains 20%. His marked pri
Question

A dealer's cost price for each fan he would like to sell is ₹2,000. After allowing a discount of 20% on its marked price, he gains 20%. His marked price of the fan is:

A.

₹5,000

B.

₹ 2,500

C.

₹3,000

D.

₹4,000

Correct option is C

Given: 
Cost Price (CP) of each fan = ₹2,000
Discount on the Marked Price (MP) = 20%
Profit after selling = 20% 
Formula Used: 
Marked PriceSelling Price=100+Profit100Discount\frac{\text{Marked Price}}{\text{Selling Price}}= \frac{100+Profit}{100 - Discount} 
Solution: 
As per the qeustion;
Marked PriceSelling Price=100+2010020\frac{\text{Marked Price}}{\text{Selling Price}}= \frac{100+20}{100 - 20} 
Marked Price2000=12080\frac{\text{Marked Price}}{\text{2000}}= \frac{120}{80} 
Marked Price = 120×200080=3000\frac{ 120 \times 2000}{80} = ₹3000 
Alternate Method:

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