Question
A shopkeeper marked an item Rs. 6,000 above its cost price. After giving a discount of 40%, the shopkeeper still made a profit of Rs. 2,400. Find the profit percentage earned.
Solution
Let the cost price (C.P.) of the item be Rs. x. The marked price (M.P.) = x + 6000. The selling price (S.P.) after a discount of 40% = 60% of M.P. S.P. = 0.6 × (x + 6000). Given, the shopkeeper made a profit of Rs. 2,400, so: S.P. = C.P. + 2400. 0.6(x + 6000) = x + 2400. 0.6x + 3600 = x + 2400. 3600 - 2400 = x - 0.6x. 1200 = 0.4x. x = 1200 ÷ 0.4 = 3000. S.P. = 3000 + 2400 = 5400. Profit percentage = (Profit ÷ C.P.) × 100 = (2400 ÷ 3000) × 100 = 80%. Correct answer: d.
More Profit and loss Questions
- A school bag is sold for Rs.450 after giving two successive discounts of 20% and 25%. If school bag is marked up by Rs.400 above its cost price, then find ...
- A trader marks his goods 60% above the cost price. He offers a certain discount on the marked price and earns a profit of 28%. (a) What discount percentag...
- A shopkeeper marks an article 50% above cost price. He gives successive discounts of 20% and 10%. If profit is Rs 180, find the cost price.
- Cost price of an article is X. The article is marked up by Y% and sold while offering a discount of 25%. The profit earned is (Y + 20). When the same artic...
- Article ‘P’, if sold at a profit of 20% earns a profit of Rs. 400. If article ‘P’ is marked 50% above its cost price and then sold after offering two succe...
- A man purchased 'n' apples and sold them at Rs. 'n' per apple. If the selling price per apple had been reduced by 20%, the total profit he would have earne...
- The marked price of the washing machine is 20% above its cost price. The seller offers two successive discounts of 10% and 25%, respectively. If he incurs ...
- A dishonest merchant sells goods at a 12.5% loss on the cost price, but uses 28 g weight instead of 36 g. What is his percentage profit or loss?
- 'A' purchased an article and sold it to 'B' at 10% profit. 'B' marked it up by 35% above the price at which 'A' has purchased it and then sold it after giv...
- In March 2023, Priya paid EMI which was 18 percent of her monthly salary. She paid the remaining amount on rent and utilities in the ratio of 5:3. She spen...
