Question Details

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.

Options

A

48

B

54

C

62

D

66

E

Can’t be determined

Show Answer

Correct Answer :

Option E

Can’t be determined

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:
Total articles sold = 3 × Average number of articles sold
The quantity of article B sold in any month is:
B = Total - ( A + C )

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:
Average B (May & June) = 182 + 82 2 = 264 2 = 132
The number of articles A sold in July is 25% more than this average:
A July = 1.25 × 132 = 165
The sum of articles B and C sold in July is 30% more than the articles B sold in April:
B July + C July = 1.30 × 80 = 104

Step 3: Analyze the feasibility of the solution.
We have the equation:
B July + C July = 104
Since there is no other information provided to find the value of CJuly or the total number of articles sold in July, we cannot calculate the individual value of BJuly.
Consequently, the difference in the number of articles B sold in July compared to April cannot be determined.

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