Question : An article was sold at a loss of 13.5%. If it was sold for INR 1,104 more, then there would have been a profit of 9.5%. The cost price of the article was:
Option 1: INR 4,600
Option 2: INR 4,800
Option 3: INR 4,400
Option 4: INR 4,200
Correct Answer: INR 4,800
Solution : Let $x$ be the cost price. Loss = 13.5% of cost price = $0.135x$ Selling price = cost price – loss = $x-0.135x$ = $0.865x$ When selling price = $0.865x$ + INR 1,104, Profit = 9.5% of cost price = $0.095x$ Cost price = selling price – profit $x = 0.865x + 1104 - 0.095x$ ⇒ $0.23x = 1104$ ⇒ $x=4800$ Hence, the correct answer is INR 4,800.
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Question : An article was sold at a certain price. Had it been sold at $\frac{4}{5}$ of that price, there would have been a loss of 10%. At what profit percentage was the article sold initially?
Option 1: 10.5
Option 2: 15
Option 3: 12.5
Option 4: 10
Question : Ankita sold three toys. The first toy was sold for INR 1,500 at a profit of 25%, the second toy was sold for INR 2,800 at a loss of 50% and the third toy was sold for INR 3,500 at a profit of 25%. Find her total profit or loss percentage.
Option 1: 15.25% loss
Option 2: 15.25% profit
Option 3: 18.75% profit
Option 4: 18.75% loss
Question : A man bought an article and sold it at a gain of 10%. If he had bought the article at 20% less and sold it for INR 1,000 more, he would have made a profit of 40%. The cost price of the article (in INR) is:
Option 1: 50,000
Option 2: 60,000
Option 3: 40,000
Option 4: 25,000
Question : Aditya sold Article X at a profit of 23% and Article Y at a loss of 13%. He earned a profit of INR 180 in the entire transaction. If article X costs INR 90 less than article Y, then what is the price of article Y (in INR)?
Option 1: 2,100
Option 2: 2,007
Option 3: 2,020
Option 4: 2,050
Question : A person bought an article at a 30% discount on its marked price. The person then sold it at 30% profit for INR 427.70. What was the marked price of the article?
Option 1: INR 470
Option 2: INR 450
Option 3: INR 500
Option 4: INR 480
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