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.

MonthsAverage number of articles soldPercentage of article A soldTotal number of articles C sold
April10040%100
May12030%70
June7225%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

Can’t be determined

Show Answer

Correct Answer :

Option D

Can’t be determined

Can’t be determined

Solution :

The correct option is Can’t be determined.


Step 1: Understand the given data from the table

The table provides information about three articles (A, B, and C) sold by Pesto company in April, May, and June:

1. April:

Average number of articles sold = 100

Total number of articles (A + B + C) = 100×3=300

Percentage of article A sold = 40% of 300 = 0.40×300=120

Total number of article C sold = 100

Therefore, total number of article B sold in April = Total articles - Article A - Article C

Article B (April)=300-120-100=80


2. May:

Average number of articles sold = 120

Total number of articles (A + B + C) = 120×3=360

Percentage of article A sold = 30% of 360 = 0.30×360=108

Total number of article C sold = 70

Therefore, total number of article B sold in May = 360-108-70=182


3. June:

Average number of articles sold = 72

Total number of articles (A + B + C) = 72×3=216

Percentage of article A sold = 25% of 216 = 0.25×216=54

Total number of article C sold = 80

Therefore, total number of article B sold in June = 216-54-80=82


Step 2: Analyze the conditions given for the month of July

We are given that:

- Sum of article B and article C sold in July = 30% more than article B sold in April.

Article B (July)+Article C (July)=1.30×Article B (April)

Article B (July)+Article C (July)=1.30×80=104


Step 3: Evaluate if Article B (July) can be uniquely calculated

We have the combined total of article B and article C sold in July, which is equal to 104:

Article B (July)+Article C (July)=104

However, there is no additional information or individual breakdown provided to separate the value of article B sold in July from article C sold in July.


Since the exact number of article B sold in July depends on the number of article C sold in July (which is unknown), the exact value of article B sold in July—and consequently the difference between article B sold in July and April—cannot be determined.

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