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

Ratio of males to females who purchased total articles (A, B and C) in June is 3: 1 and the ratio of male to females who purchased articles A in June is 1: 2. If only 10 females purchased articles C in June, then find the number of males purchased articles B. (Note: All the articles are purchased from Pesto)

Options

A

50

B

54

C

62

D

74

E

72

Show Answer

Correct Answer :

Option D

74

74

Solution :

Step 1: Calculate the total number of articles (A, B, and C) sold in June.
Since the table gives the average number of articles sold of type A, B, and C, the total number of articles sold in June is the average multiplied by 3:
Total articles = 72 × 3 = 216

Step 2: Calculate the number of males and females who purchased the total articles in June.
The ratio of males to females who purchased the total articles is 3:1. Therefore:
Total males = 216 × 3 3 + 1 = 216 × 3 4 = 162
Total females = 216 × 1 4 = 54

Step 3: Calculate the number of article A sold in June and the distribution of purchases among males and females.
The table shows that article A represents 25% of the total articles sold in June:
Total Article A sold = 25 % of 216 = 0.25 × 216 = 54
The ratio of males to females who purchased article A is 1:2. Therefore:
Males who purchased A = 54 × 1 1 + 2 = 54 × 1 3 = 18

Step 4: Calculate the number of males who purchased article C.
The total number of article C sold in June is 80. If 10 females purchased article C, the remaining purchases must have been made by males:
Males who purchased C = Total Article C sold - Females who purchased C
Males who purchased C = 80 - 10 = 70

Step 5: Calculate the number of males who purchased article B.
Since we know the total number of males who purchased articles in June (162), and how many of them purchased articles A (18) and C (70), we can find the number of males who purchased article B by subtraction:
Males who purchased B = Total males - ( Males who purchased A + Males who purchased C )
Males who purchased B = 162 - ( 18 + 70 ) = 162 - 88 = 74

Thus, the number of males who purchased article B is 74.

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