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)
Correct Answer :
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 =
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 =
Total Article C sold (from table) = 80
Number of Article B sold =
Step 3: Calculate the total male and female purchasers in June
Ratio of males to females for total articles = 3 : 1
Total Males =
Total Females =
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 =
Females who purchased Article C = 10 (given)
Total Article C = 80
Males who purchased Article C =
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 =
Thus, the number of males who purchased Article B in June is 74.
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