A shopkeeper marks an article 40% above its cost price. He then allows two successive discounts of 18% and 5% on the marked price. Find the profit percentage.
9.06%
Take the cost price as 100. The article is marked 40% above cost, so the marked price is \(100 \times 1.40 = 140\).
Apply the first discount of 18%: \(140 \times (1 - 0.18) = 140 \times 0.82 = 114.8\).
Apply the second discount of 5% on the reduced price: \(114.8 \times (1 - 0.05) = 114.8 \times 0.95 = 109.06\).
The selling price is 109.06 while the cost price is 100, so profit is \(109.06 - 100 = 9.06\).
Profit percentage \(= \frac{9.06}{100} \times 100 = 9.06\%\).
Hence, the profit percentage is 9.06%.
Similar Questions
- An item marked for ₹38,800 is available on a discount of 25% or two successive discounts of 10% and 15%. What is the difference between the selling prices in the discount schemes?
- A wholesaler gives a scheme discount of 10% on a marked price of ₹400. What is the selling price?
- How much percentage above the cost price should a shopkeeper mark his goods so that after allowing a discount 25% he should gain 12%?
- A dealer offers successive discounts of 15% and 12% on a refrigerator marked at ₹25,000. What is the final selling price?
- The marked price of a shirt is ₹500. If the shopkeeper offers a 20% discount, what is the selling price of the shirt?
- If on a marked price, the difference between selling prices with a discount of 45% and two successive discounts of 30% and 20% is ₹84, then the marked price is _______.
- If a selling price of ₹36 results in a 10% discount on a list price, what selling price will result in a 20% discount on the list price?
- A salesman offers 20% additional discount, after offering an initial discount of 25% on the labelled rate of a laptop. If the final sale price of the laptop is ₹18,000, then what was its labelled rate?
- A man got a discount of 10% on sugar at Big Mart which allowed him to buy 25 kg more for ₹225/-. What is the discounted price and the original price of the sugar per kg?
- Rahul bought a sweater and saved ₹200 when a discount of 25% was given. What was the price of the sweater before the discount?
Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of Rs. 25,500?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
Lekhana saves Rs. 15 on the purchase of a book when a discount of 20% is given. How much did she pay for the book?
What will be the selling price if three successive discounts of 10% is applied on an item marked at Rs 3000?
