A shopkeeper sells a table at 25% discount on the marked price and earns a profit of 70%. If he sells the same table at 50% discount, then his new profit percentage will be:

Question

Question

This question was previously asked in

SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 08 Aug, 2023 Shift 2)

Answer 1

Given

Discount = 25%

Profit = 70%

New Discount = 50%

Formula used

Profit% = (Profit/Cost price) × 100

Discount % = (Discount /Mark price) × 100

Calculation

Let the Cost price of the table be 100a

Since he gains a profit of 70%, the selling price = 100a + (70/100) x 100a = 170a

M.P = 170a x 100/75

⇒ 170a x 4/3 = 680a/3

Now, if he sells the table at a 50% discount

⇒ New selling price will be = 680a/3 x 1/2

⇒ New selling price = 340a/3

His new profit percentage will be = (340a/3 - 100a)100a x 100

⇒ 40/300 x 100

⇒ 40/3 or 13(1/3)%

The answer is 13(1/3)%.

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