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​A shopkeeper buys a bicycle for ₹3,500 and sells it at a 20% discount, making no profit or loss. What is the marked price of the bicycle?
Question

​A shopkeeper buys a bicycle for ₹3,500 and sells it at a 20% discount, making no profit or loss. What is the marked price of the bicycle?

A.

₹3,475

B.

₹5,374

C.

₹7,343

D.

₹4,375

Correct option is D

Given:

Cost Price (CP) = ₹3,500

Sold at 20% discount

No profit, no loss => Selling Price (SP) = CP = ₹3,500

Find the Marked Price (MP)

Formula Used:

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

Solution:

If SP = CP, then discounted price = CP

3500 = MP × 0.80

MP = 35000.80 \frac{3500}{0.80}​ = ₹4375

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