A shopkeeper marked an article 48% above the cost price and sold it after giving a discount of 25%. Had he sold the article without giving any discount then he would have earned a profit of 168. Find the original selling price of the article.OPTIONS Rs. 388.50 Rs. 392.50 Rs. 350 Rs. 518
Question
A shopkeeper marked an article 48% above the cost price and sold it after giving a discount of 25%. Had he sold the article without giving any discount then he would have earned a profit of 168. Find the original selling price of the article.OPTIONS Rs. 388.50 Rs. 392.50 Rs. 350 Rs. 518
Solution
Let's solve this step by step:
Step 1: Let's assume the cost price of the article is Rs. 100.
Step 2: The shopkeeper marked the article 48% above the cost price. So, the marked price becomes Rs. 148 (100 + 48% of 100).
Step 3: He sold it after giving a discount of 25%. So, the selling price becomes Rs. 111 (75% of 148).
Step 4: If he sold the article without giving any discount, he would have earned a profit of Rs. 168. This means the selling price would have been Rs. 268 (100 + 168).
Step 5: Now, we know that Rs. 148 is equivalent to Rs. 268 in the problem. We need to find out the value equivalent to Rs. 111.
Step 6: So, the original selling price of the article is (111/148)*268 = Rs. 202.50
But none of the options match this answer. There might be a mistake in the problem or the options provided.
Similar Questions
By purchasing an article at 20% discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs.200 as the profit. What was the original price of the article?Options356289None of these444.44
A shopkeeper marked an article 40% above its cost price and allowed a discount of 20%. Had he marked the article 50% above its cost price and allowed a discount of 12%, the selling price would have been Rs. 90 more than the earlier selling price. Find 130% of the cost price.
A trader sold an article, after giving a discount which was 20% of the selling price, for a profit of 20% which is calculated on the selling price. If he had sold the article at the marked price, what would his profit percentage have been?
A merchant marks the price of an article 60% above the cost price and allows a discount of 25%. If the selling price is $540, what is the cost price of the article?
A shopkeeper give 20% discount on a article and sold it with a profit of 25%. Find cost price in Rs. if selling price is 640rs?Options512602286426
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.