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

Number of articles C sold in April and June together are what percentage (approx.) of the number of articles A sold in May.

Options

A

167%

B

178%

C

155%

D

145%

E

120%

Show Answer

Correct Answer :

Option A

167%

Solution :

The correct answer is 167%.

To find the required percentage, we need to calculate the number of articles sold in each category for the relevant months from the data provided in the table.

Step 1: Understand the total number of articles sold.
The table gives the average number of articles sold for three categories of articles (A, B, and C) in each month. Since there are three types of articles, the total number of articles sold in any month is given by:
Total articles = Average number of articles sold × 3

Step 2: Calculate the number of articles A sold in May.
From the table, for the month of May:
- The average number of articles sold is 120.
- Thus, the total number of articles sold in May is:

Total articles in May = 120 × 3 = 360
- The percentage of article A sold in May is 30%. Therefore, the number of article A sold in May is:

Articles A sold in May = 30 % of 360 = 30 100 × 360 = 108

Step 3: Find the total number of articles C sold in April and June together.
From the table, the total number of article C sold is directly given:
- Total articles C sold in April = 100
- Total articles C sold in June = 80
- Therefore, the sum of article C sold in April and June together is:

100 + 80 = 180

Step 4: Calculate the required percentage.
We need to find what percentage the articles C sold in April and June together (180) is of the articles A sold in May (108).
The percentage is calculated as:

Required Percentage = 180 108 × 100
Let us simplify the fraction by dividing both the numerator and the denominator by 36:

180 108 = 5 3
Now, calculate the final percentage:

Percentage = 5 3 × 100 % = 166.67 % 167 %
Thus, the number of articles C sold in April and June together is approximately 167% of the number of articles A sold in May.

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