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Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
What should be the selling price of a camera for a seller so as to obtain a profit of 12%?
I. Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.
II. Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.
III. Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.
  • a)
    Either I or II or III
  • b)
    All I, II and III
  • c)
    Either I or II
  • d)
    Both I and III
  • e)
    None are sufficient.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Each of the questions below consists of a question and three statemen...
From I
Let the cost price of the camera be ₹100
Marked price = ₹160
Equivalent discount = 10 + 15 - (10 x 15)/100 = 23.5%
Selling price = 160 x (100 - 23.5)/100 = 122.4
Profit = (122.4 - 100) = ₹22.4
For profit of ₹22.4 cost price is ₹100
Then, for a profit of ₹5376, cost price = (5376 x 100)/22.4 = ₹24000
Required selling price = (24000 x 112/100) = ₹26880
Hence, statement I alone is sufficient.
From II:
Let the cost price of camera be ₹Y
Then,
Selling price for 20% profit = 1.2Y
Selling price for 28% profit = 1.28Y
Difference of selling price = ₹1440
1.28Y - 1.2Y = 1440
Y = ₹18000
Thus, required selling price = (18000 x 112/100) = ₹20160
Hence, statement II alone is sufficient.
From III:
Let the cost price of seller be ₹Y
Selling price of Seller is same as cost price for Raja.
Thus,
Y x 110/100 x 145/100 x 80/100 = ₹22968
Y = (22968 x 100/110 x 100/145 x 100/80) = ₹18000
Thus, required selling price = (18000 x 112/100) = ₹20160
Hence, statement III alone is sufficient.
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Community Answer
Each of the questions below consists of a question and three statemen...
Statement I:
Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.

Statement II:
Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.

Statement III:
Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.

To determine the selling price of the camera for the seller, we need to find the cost price of the camera. Let's analyze each statement:

Statement I:
The seller marked the camera 60% above the cost price, and after allowing two successive discounts of 10% and 15%, the seller claims a profit of ₹5376. However, this information is not sufficient to determine the cost price of the camera or the selling price.

Statement II:
The seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more, he would have got a profit of 28%. This statement provides some information about the profit percentage but does not give any information about the cost price. Hence, this statement alone is also not sufficient to determine the selling price.

Statement III:
The seller sold the camera to Raja at a profit of 10%, and Raja marked the camera 45% above the cost price. After allowing a discount of 20%, Raja sold it to Raj at ₹22968. Again, this statement does not provide any specific information about the cost price or the selling price of the camera.

Combining the Statements:
By combining the statements, we can get some additional information. From Statement II, we know that the seller sold the camera at a profit of 20%. If the selling price is increased by ₹1440, the profit would be 28%. However, this still does not give us the cost price or the exact selling price.

Therefore, none of the statements alone or in combination is sufficient to determine the selling price of the camera for the seller. Hence, the correct answer is option 'E' - None are sufficient.
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Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:What should be the selling price of a camera for a seller so as to obtain a profit of 12%?I. Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.II. Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.III. Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.a)Either I or II or IIIb)All I, II and IIIc)Either I or IId)Both I and IIIe)None are sufficient.Correct answer is option 'A'. Can you explain this answer?
Question Description
Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:What should be the selling price of a camera for a seller so as to obtain a profit of 12%?I. Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.II. Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.III. Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.a)Either I or II or IIIb)All I, II and IIIc)Either I or IId)Both I and IIIe)None are sufficient.Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:What should be the selling price of a camera for a seller so as to obtain a profit of 12%?I. Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.II. Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.III. Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.a)Either I or II or IIIb)All I, II and IIIc)Either I or IId)Both I and IIIe)None are sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:What should be the selling price of a camera for a seller so as to obtain a profit of 12%?I. Seller marked the camera 60% above the cost price and after allowing two successive discounts of 10% and 15% claims a profit of ₹5376.II. Seller sold the camera at a profit of 20%. If he had sold it for ₹1440 more he would have got a profit of 28%.III. Seller sold the camera to Raja at a profit of 10% and Raja marked the camera 45% above the cost price and after allowing a discount of 20% sold it to Raj at ₹22968.a)Either I or II or IIIb)All I, II and IIIc)Either I or IId)Both I and IIIe)None are sufficient.Correct answer is option 'A'. Can you explain this answer?.
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