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.

₹45,700

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₹46,500

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₹54,000

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₹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 = $0.8 x$ -----(i)

Profit% = 30%

So, using the formula

Profit% = $\frac{P r o f i t}{C o s t p r i c e}$ × 100%

30% = $\frac{9, 000}{C P}$ × 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,

$0.8 x$ = ₹39,000

⇒ $x$ = ₹48,750
The labelled price of the jewellery is ₹48,750.

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