Suji marked a dress 50% above the cost price. If she offers a discount of 30% on the marked price and the customer pays ₹5,250, the cost price is:
₹5,000
Let cost price be x.
Marked Price = x + 50% of x = 1.5x
Selling Price = 1.5x - 30% of 1.5x = 1.5x × (1 - 0.3) = 1.5x × 0.7 = 1.05x
1.05x = 5250 → x = 5250 ÷ 1.05 = ₹5,000
Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
