Question : A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30%. The cost price of the article is:
Option 1: Rs. 330
Option 2: Rs. 155
Option 3: Rs. 150
Option 4: Rs. 300
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Correct Answer: Rs. 150
Solution : Here CP denotes cost price and SP denotes selling price. Let CP = Rs. $x$ SP = $x(\frac{100-Loss\%}{100})$ ⇒ SP = $x(\frac{100-5}{100})$ ⇒ SP = $x(\frac{95}{100})$ New CP = $x-\frac{10}{100}x$ ⇒ New CP = $\frac{90}{100}x$ and new SP = $\frac{95}{100}x+33$ Profit = 30% New Profit = $\frac{95}{100}x+33 - \frac{90}{100}x$ ⇒ New Profit = $\frac{5}{100}x+33$ According to the question, $\frac{\frac{5}{100}x+33}{\frac{90}{100}x} \times 100 = 30$ ⇒ $\frac{5}{100}x+33 = 0.3(\frac{90}{100})x$ ⇒ $0.05x+33 = 0.3 \times 0.9x$ ⇒ $33 = 0.27x-0.05x$ ⇒ $33 = 0.22x$ ⇒ $x= Rs. 150$ Hence, the correct answer is Rs. 150.
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Question : A person bought an article and sold it at a loss of 10%. If he had bought it for 30% less price and sold it for INR 90 more, then he would have earned a profit of 35%. What is the cost price of the article?
Option 1: INR 2400
Option 2: INR 2000
Option 3: INR 2100
Option 4: INR 2200
Question : A shopkeeper sells an article at 20 percent profit. If he had bought it at a 10 percent less price and sold it for Rs. 48 less, then he would have earned a profit of 20 percent. What is the cost price of the article?
Option 1: Rs. 460
Option 2: Rs. 520
Option 3: Rs. 340
Option 4: Rs. 400
Question : A man sells an article at a loss of 10%. If he had sold it for Rs. 75 more he would have gained 20%. The cost price of the article is (in Rs.):
Option 1: 225
Option 2: 300
Option 3: 150
Option 4: 250
Question : A merchant sold an article at a 20% loss. If he had sold it for Rs. 390 more, 6% would have been gained on the cost price. What is the cost price of the article?
Option 1: Rs. 1,200
Option 2: Rs. 2,600
Option 3: Rs. 1,500
Option 4: Rs. 1,800
Question : Akshay has 30 articles, each having the same cost price. He marked the price of each article at 30% above its cost price. He sold 15 of the articles at a discount of 20% each, and the remaining 15 articles at a discount of 10% each, thereby gaining a total profit of Rs. 630. What was the cost price of each article?
Option 1: Rs. 240
Option 2: Rs. 180
Option 3: Rs. 280
Option 4: Rs. 200
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