If a shopkeeper bears 25% loss, then which of the following statements is/are correct?
Statement A: The cost price of 15 articles is equal to the selling price of 20 articles.
Statement B: The cost price of 12 articles is equal to the selling price of 17 articles.
Only Statement A is correct.
If there is a 25% loss, then Selling Price (SP) = 75% of Cost Price (CP), or SP = (3/4)CP.
Let the CP of 1 article be ₹1. Then CP of 15 articles = ₹15.
SP of 20 articles = 20 × SP = 20 × (3/4) = ₹15. Hence, Statement A is correct.
For Statement B: CP of 12 articles = ₹12. SP of 17 articles = 17 × (3/4) = ₹12.75 ≠ ₹12
So, Statement B is incorrect.
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?
