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Question

A jeweler makes a profit of 30% after offering a discount of 20% on the labelled price of a jewelry. If he makes a profit of ₹9,000 on the sale, then find the labelled price of the jewelry.


A

₹45,700

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B

₹46,500

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C

₹54,000

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D

₹48,750

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Solution

The correct option is D

₹48,750


Let the labelled price be ₹x.

After offering a discount of 20%, S.P = 0.8x -----(i)

Profit% = 30%

So, using the formula

Profit% = ProfitCost price× 100%

30% = 9,000CP× 100%

CP = 300 × 100

CP = ₹30,000

So, SP = CP + Profit
= ₹30,000 + ₹9,000
= ₹39,000 -----(ii)

From eq.(i) and eq. (ii), we get,

0.8x = ₹39,000

x = ₹48,750

The labelled price of the jewellery is ₹48,750.

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