The table given below shows the average number of articles (A, B and C) sold by Pesto company in three different months. It also shows the percentage of article A sold by Pesto company out of the total number of articles sold in these months. Table also reflects the total number of article C sold in these months. Read the table carefully and answer the following questions.
| Months | Average number of articles sold | Percentage of article A sold | Total number of articles C sold |
|---|---|---|---|
| April | 100 | 40% | 100 |
| May | 120 | 30% | 70 |
| June | 72 | 25% | 80 |
In month of July, total number of articles A sold by Pesto are 25% more than the average number of articles B sold in the month of May and June. If the sum of the article B and C sold by Pesto in July are 30% more than the articles B sold by Pesto in April, then find the difference in the number of articles B sold in July to that of in April.
Correct Answer :
Can’t be determined
Solution :
The correct option is Can’t be determined.
Let us solve the problem step-by-step.
Step 1: Calculate the total number of articles sold and the quantity of article B sold in April, May, and June.
Since there are three types of articles (A, B, and C), the total number of articles sold in any month is given by:
The quantity of article B sold in any month is:
For April:
Average number of articles sold = 100
Total articles sold = 3 × 100 = 300
Number of articles A sold = 40% of 300 = 120
Number of articles C sold = 100
Number of articles B sold = 300 - (120 + 100) = 80
For May:
Average number of articles sold = 120
Total articles sold = 3 × 120 = 360
Number of articles A sold = 30% of 360 = 108
Number of articles C sold = 70
Number of articles B sold = 360 - (108 + 70) = 182
For June:
Average number of articles sold = 72
Total articles sold = 3 × 72 = 216
Number of articles A sold = 25% of 216 = 54
Number of articles C sold = 80
Number of articles B sold = 216 - (54 + 80) = 82
Step 2: Determine the information for the month of July.
First, find the average number of articles B sold in May and June:
The number of articles A sold in July is 25% more than this average:
The sum of articles B and C sold in July is 30% more than the articles B sold in April:
Step 3: Analyze the feasibility of the solution.
We have the equation:
Since there is no other information provided to find the value of or the total number of articles sold in July, we cannot calculate the individual value of .
Consequently, the difference in the number of articles B sold in July compared to April cannot be determined.
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