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Suji marked a dress 50% above the cost price. If she offers a discount of 30% on the marked price and the customer pays ₹5,250, the cost price is:
Question

Suji marked a dress 50% above the cost price. If she offers a discount of 30% on the marked price and the customer pays ₹5,250, the cost price is:

A.

₹5,500

B.

₹7,500

C.

₹6,075

D.

₹5,000

Correct option is D

Given:

Marked Price = Cost Price + 50% of Cost Price

Discount = 30% on Marked Price

Selling Price (SP) = ₹5,250

Formula Used:

SP = MP×(1Discount100)MP \times \left(1 - \frac{Discount}{100}\right) 

Solution: 

Marked Price = 1.5 × Cost Price 

Now, 

5250=1.5×CP×(130100) 5250=1.05×CP CP=52501.05=50005250 = 1.5 \times CP \times\left(1 -\frac{30}{100}\right) \\ \ \\ 5250 = 1.05 \times CP \\ \ \\ CP = \frac{5250}{1.05} = ₹5000​​

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