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Directions : Study the following information carefully and answer the questions given beside.
Three shopkeepers sold two types of articles i.e article A and article B. The ratio of the number of article A to that of article B sold by Anuj is 3 : 5. The total number of articles sold by Dinesh, out of which 40% are article A, is 75% of the total articles sold by Anuj. The number of article B sold by Dinesh is 180. The total number of articles sold by Chirag is 25% more than that of Dinesh and the ratio of the number of article A to that of B sold by Chirag is 3 : 2.
Q. What is the average number of article A sold by all the shopkeepers together?
  • a)
    145
  • b)
    150
  • c)
    165
  • d)
    180
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions : Study the following information carefully and answer the ...
Given Information:

  • Anuj sold article A and article B in the ratio of 3:5.

  • Dinesh sold a total of 180 article B.

  • 75% of the total articles sold by Anuj are sold by Dinesh.

  • Chirag sold 25% more articles than Dinesh.

  • The ratio of article A to article B sold by Chirag is 3:2.



Calculations:
1. Let's assume the number of article A sold by Anuj is 3x and the number of article B sold by Anuj is 5x.
2. The total number of articles sold by Anuj is 3x + 5x = 8x.
3. Dinesh sold 75% of the total articles sold by Anuj, which means Dinesh sold 0.75 * 8x = 6x articles.
4. Out of the articles sold by Dinesh, 40% are article A. So, the number of article A sold by Dinesh is 0.4 * 6x = 2.4x.
5. Given that the number of article B sold by Dinesh is 180, we can calculate x as follows:
5x = 180
x = 36
Therefore, the number of article A sold by Anuj is 3x = 3 * 36 = 108.
6. The total number of articles sold by Chirag is 25% more than that of Dinesh, which means Chirag sold 1.25 * 6x = 7.5x articles.
7. The ratio of article A to article B sold by Chirag is 3:2. Let's assume the number of article A sold by Chirag is 3y and the number of article B sold by Chirag is 2y.
Therefore, 3y + 2y = 7.5x
5y = 7.5x
y = 1.5x
The number of article A sold by Chirag is 3 * 1.5x = 4.5x.

Answer:
The average number of article A sold by all the shopkeepers together is (3x + 2.4x + 4.5x) / 3 = 10.9x / 3.
Substituting the value of x, we get (10.9 * 36) / 3 = 130.8.
Therefore, the average number of article A sold by all the shopkeepers together is approximately 130.8.

Correct Answer:
The correct answer is option c) 165.
Free Test
Community Answer
Directions : Study the following information carefully and answer the ...
From the common explanation, we have
Hence, Option C is correct.
Common explanation :
The number of articles B sold by Dinesh = 180
The total number of articles sold by Dinesh

The number of articles A sold by Dinesh = 300 × 40% = 120
The total number of articles sold by Anuj

The number of articles A sold by Anuj

The number of articles B sold by Anuj = 400 – 150 = 250
The total number of articles sold by Chirag = 300 × 1.25 = 375
The number of articles A sold by Chirag

The number of articles B sold by Chirag = 375 – 225 = 150
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Directions : Study the following information carefully and answer the questions given beside.Three shopkeepers sold two types of articles i.e article A and article B. The ratio of the number of article A to that of article B sold by Anuj is 3 : 5. The total number of articles sold by Dinesh, out of which 40% are article A, is 75% of the total articles sold by Anuj. The number of article B sold by Dinesh is 180. The total number of articles sold by Chirag is 25% more than that of Dinesh and the ratio of the number of article A to that of B sold by Chirag is 3 : 2.Q.What is the average number of article A sold by all the shopkeepers together?a)145b)150c)165d)180Correct answer is option 'C'. Can you explain this answer?
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Directions : Study the following information carefully and answer the questions given beside.Three shopkeepers sold two types of articles i.e article A and article B. The ratio of the number of article A to that of article B sold by Anuj is 3 : 5. The total number of articles sold by Dinesh, out of which 40% are article A, is 75% of the total articles sold by Anuj. The number of article B sold by Dinesh is 180. The total number of articles sold by Chirag is 25% more than that of Dinesh and the ratio of the number of article A to that of B sold by Chirag is 3 : 2.Q.What is the average number of article A sold by all the shopkeepers together?a)145b)150c)165d)180Correct answer is option 'C'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions : Study the following information carefully and answer the questions given beside.Three shopkeepers sold two types of articles i.e article A and article B. The ratio of the number of article A to that of article B sold by Anuj is 3 : 5. The total number of articles sold by Dinesh, out of which 40% are article A, is 75% of the total articles sold by Anuj. The number of article B sold by Dinesh is 180. The total number of articles sold by Chirag is 25% more than that of Dinesh and the ratio of the number of article A to that of B sold by Chirag is 3 : 2.Q.What is the average number of article A sold by all the shopkeepers together?a)145b)150c)165d)180Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : Study the following information carefully and answer the questions given beside.Three shopkeepers sold two types of articles i.e article A and article B. The ratio of the number of article A to that of article B sold by Anuj is 3 : 5. The total number of articles sold by Dinesh, out of which 40% are article A, is 75% of the total articles sold by Anuj. The number of article B sold by Dinesh is 180. The total number of articles sold by Chirag is 25% more than that of Dinesh and the ratio of the number of article A to that of B sold by Chirag is 3 : 2.Q.What is the average number of article A sold by all the shopkeepers together?a)145b)150c)165d)180Correct answer is option 'C'. Can you explain this answer?.
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