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

Solution :

The correct option is Can’t be determined.

Let us analyze the given data step-by-step to find the number of articles sold in each month. Since the table lists the average number of three articles (A, B, and C) sold, the total number of articles sold in any month is given by:
Total articles=3×Average number of articles sold
Using this relation, we can calculate the quantities of A, B, and C for April, May, and June.

1. Calculations for April:
Average sold = 100, which means:
Total articles=3×100=300
Percentage of article A sold = 40% of the total:
Articles A sold=40% of 300=120
Total number of article C sold = 100.
Now, we can find the number of articles B sold in April:
Articles B sold=Total-(A+C)=300-(120+100)=80

2. Calculations for May:
Average sold = 120, which means:
Total articles=3×120=360
Percentage of article A sold = 30% of the total:
Articles A sold=30% of 360=108
Total number of article C sold = 70.
Now, we can find the number of articles B sold in May:
Articles B sold=Total-(A+C)=360-(108+70)=182

3. Calculations for June:
Average sold = 72, which means:
Total articles=3×72=216
Percentage of article A sold = 25% of the total:
Articles A sold=25% of 216=54
Total number of article C sold = 80.
Now, we can find the number of articles B sold in June:
Articles B sold=Total-(A+C)=216-(54+80)=82

4. Calculations for July:
We are given that the sum of articles B and C sold by Pesto in July is 30% more than the articles B sold by Pesto in April.
Let BJuly and CJuly represent the number of articles B and C sold in July, respectively.
We have:
BJuly+CJuly=1.30×BApril
Substituting BApril=80 into the equation:
BJuly+CJuly=1.30×80=104

We are asked to find the difference between the number of articles B sold in July (BJuly) and those sold in April (BApril=80).
Since we only know the sum BJuly+CJuly=104 and there is no additional information provided to determine the individual value of CJuly, we cannot find the exact value of BJuly.
Therefore, the difference between the number of articles B sold in July and April cannot be determined.

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