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
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
A man sells a car to his friend at the loss of 10 %; who in return sells it for Rs. 54000 making a profit of 20 %. What was the initial value of the car?
An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
