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%

167%

Solution :

The correct answer is 167%.

To find the required percentage, let us break down the calculations step-by-step based on the provided table data:

Step 1: Understand the average and calculate the total articles sold in May
The table gives the average number of articles (A, B, and C) sold by the company. Since there are three types of articles (A, B, and C), the total number of articles sold in any month is:
Total articles sold=3×Average number of articles sold
For May, the average number of articles sold is 120. Therefore, the total number of articles sold in May is:
3×120=360

Step 2: Calculate the number of articles A sold in May
According to the table, the percentage of article A sold in May is 30% of the total number of articles sold in that month:
Number of articles A sold in May=30% of 360
Number of articles A sold in May=30100×360=108

Step 3: Find the total number of articles C sold in April and June together
From the table, we can directly find the total number of articles C sold:
Articles C sold in April = 100
Articles C sold in June = 80
Therefore, the combined number of articles C sold in April and June together is:
100+80=180

Step 4: Calculate the required percentage
We need to find what percentage the combined C articles (180) are of the A articles sold in May (108):
Percentage=180108×100
Simplifying the fraction:
180108=53
Percentage=53×100=166.67%167%

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