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A wholesaler purchases books from three different places. The ratio of numbers of books purchased from three different places is 3 : 4 : 2. If he sells each book at the same price, the corresponding ratio of profit (by selling all the books) is 4 : 7 : 5.
Find the total profit percentage if corresponding cost prices are in the ratio of 9 : 11 : 5.
  • a)
    20.83
  • b)
    21.33
  • c)
    15.66
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A wholesaler purchases books from three different places. The ratio of...
Let the number of books be 3x, 4x and 2x.
Let the profits be 4y, 7y and 5y and the cost prices be 9z, 11z
and 5z.
Let the selling price per unit be s.
3xs - 4 y = 9 z ... (i),
4xs - 7y - 11z... (ii)
And, 2xs - 5 y = 5 z ... (iii)
From (i) and (ii)
3z = 5y
From (ii) and (iii)
z = 3y
And, from (i) and (iii)
3z = 7y
We can see that no unique solution can be obtained.
The percentage profit cannot be determined.
Hence, option 4.
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Most Upvoted Answer
A wholesaler purchases books from three different places. The ratio of...
Let's assume that the wholesaler purchases books from three different places A, B, and C in the ratio of 3:4:2. This means that if he purchases 300 books in total, he would buy 90 books from place A, 120 books from place B, and 60 books from place C.

Similarly, the corresponding ratio of profit from selling these books is given as 4:7:5. So, if the total profit from selling these books is 160 units, the profit from selling books purchased from place A would be 40 units, from place B would be 70 units, and from place C would be 50 units.

Now, let's assume the cost price of the books purchased from place A is 9x, from place B is 11x, and from place C is 5x.

To find the total cost price, we can add up the cost prices of books purchased from each place:
Cost price of books purchased from place A = 90 * 9x = 810x
Cost price of books purchased from place B = 120 * 11x = 1320x
Cost price of books purchased from place C = 60 * 5x = 300x

The total cost price of all the books is 810x + 1320x + 300x = 2430x

Now, let's calculate the total profit percentage:
Total profit = 160 units
Total cost price = 2430x

Profit percentage = (Total profit / Total cost price) * 100
Profit percentage = (160 / 2430x) * 100

Simplifying further,
Profit percentage = (16 / 243x) * 100

As we can see, the profit percentage depends on the value of x. Since the value of x is not given in the question, we cannot determine the exact profit percentage.

Hence, the correct answer is option D) Cannot be determined.
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The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.How many items were purchased by Ananya? Correct answer is '5'. Can you explain this answer?

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A wholesaler purchases books from three different places. The ratio of numbers of books purchased from three different places is 3 : 4 : 2. If he sells each book at the same price, the corresponding ratio of profit (by selling all the books) is 4 : 7 : 5.Find the total profit percentage if corresponding cost prices are in the ratio of 9 : 11 : 5.a)20.83b)21.33c)15.66d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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A wholesaler purchases books from three different places. The ratio of numbers of books purchased from three different places is 3 : 4 : 2. If he sells each book at the same price, the corresponding ratio of profit (by selling all the books) is 4 : 7 : 5.Find the total profit percentage if corresponding cost prices are in the ratio of 9 : 11 : 5.a)20.83b)21.33c)15.66d)Cannot be determinedCorrect answer is option 'D'. 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 A wholesaler purchases books from three different places. The ratio of numbers of books purchased from three different places is 3 : 4 : 2. If he sells each book at the same price, the corresponding ratio of profit (by selling all the books) is 4 : 7 : 5.Find the total profit percentage if corresponding cost prices are in the ratio of 9 : 11 : 5.a)20.83b)21.33c)15.66d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wholesaler purchases books from three different places. The ratio of numbers of books purchased from three different places is 3 : 4 : 2. If he sells each book at the same price, the corresponding ratio of profit (by selling all the books) is 4 : 7 : 5.Find the total profit percentage if corresponding cost prices are in the ratio of 9 : 11 : 5.a)20.83b)21.33c)15.66d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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