Question : A radio is sold at a profit of 20%. Had it been sold for Rs. 60 more the profit would have been 30%. The cost price of the radio is:
Option 1: Rs. 500
Option 2: Rs. 600
Option 3: Rs. 550
Option 4: Rs. 620
Correct Answer: Rs. 600
Solution : Let the initial cost of the radio be $x$. According to the question, $x+\frac{20x}{100}+60=x+\frac{30x}{100}$ ⇒ $60=\frac{30x}{100}-\frac{20x}{100}$ ⇒ $60=\frac{10x}{100}$ ⇒ $x=600$ Hence, the correct answer is Rs. 600.
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Question : A trader sold an article at a gain of 20%. Had he purchased it for 40% more and sold it for Rs. 24 less, he would have incurred a loss of 20%. What is the cost price (in Rs.) of the article?
Option 1: Rs. 150
Option 2: Rs. 300
Option 3: Rs. 450
Option 4: Rs. 600
Question : A person sold a chair at a profit of 13%. Had he sold it for INR 607.50 more, he would have gained $x$%. If the cost price of the chair is INR 3750, then the value of $x$ is:
Option 1: 30
Option 2: 32
Option 3: 28.4
Option 4: 29.2
Question : A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. If the article is sold at Rs. 3,080, then how much profit percentage is gained?
Option 1: 10%
Option 2: 15%
Option 3: 20%
Option 4: 12%
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 Rs. 1,000 more, he would have made a profit of 40%. The earlier selling price of the article (in Rs.) is:
Option 1: 55,000
Option 2: 60,000
Option 3: 50,000
Option 4: 40,000
Question : The marked price of an article is 50% more than its cost price. If a 20% discount is given, then what will be the profit percentage?
Option 1: 20%
Option 2: 25%
Option 3: 30%
Option 4: 50%
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