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

Show Answer

Correct Answer :

Option D

74

Solution :

The correct option is 74.

Let's solve the problem step-by-step based on the given table and conditions for the month of June:

Step 1: Calculate the total number of articles sold in June
Average number of articles (A, B, and C) sold in June = 72
Total articles sold in June = 72×3=216

Step 2: Calculate the number of Article A, B, and C sold in June
Percentage of Article A sold = 25% of total articles
Number of Article A sold = 25100×216=54
Total Article C sold (from table) = 80
Number of Article B sold = 216-54-80=82

Step 3: Calculate the total male and female purchasers in June
Ratio of males to females for total articles = 3 : 1
Total Males = 34×216=162
Total Females = 14×216=54

Step 4: Calculate male purchasers for Article A and Article C
Ratio of males to females for Article A = 1 : 2
Males who purchased Article A = 13×54=18
Females who purchased Article C = 10 (given)
Total Article C = 80
Males who purchased Article C = 80-10=70

Step 5: Calculate the number of males who purchased Article B
Males purchasing Article B = Total Males - Males (Article A) - Males (Article C)
Males purchasing Article B = 162-18-70=74

Thus, the number of males who purchased Article B in June is 74.

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