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.