A shopkeeper sells a table at a discount of 20 percent and earns a profit of 30 percent. If he sells the same table at 10 percent discount, then what will be his new profit or loss percent?

Question

Question

This question was previously asked in

SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 16 March, 2023 Shift 2)

Answer 1

Given:

Selling price at 20% discount with 30% profit

Selling price at 10% discount

Solution:

Let the original price (marked price) be 100

After a 20% discount, the selling price is 80% of 100 = 80

This is also the cost price with 30% profit, so 80 = 1.3 * (Cost Price) ⇒ Cost Price = 80/1.3

Now, selling price with 10% discount is 90% of 100 = 90.

Profit = Selling Price - Cost Price = 90 - (80/1.3) = (117 - 80) = 37/1.3

Profit% = ((37/1.3)/80/1.3) × 100

Profit% = (37/80) × 100

46.25%

∴ Option 3 is the correct answer.

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