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)

The correct answer is 74.

Step-by-step Explanation:

1. Calculate the total number of articles sold in June:
The table shows the average number of articles (A, B, and C) sold in June is 72.
Since there are 3 types of articles (A, B, and C), the total number of articles sold in June is given by:

$\text{Total articles}=72\times 3=216$

2. Find the number of articles of type A sold in June:
The percentage of article A sold in June is 25% of the total articles sold in June.

$\text{Number of A sold}=25\%\text{of}216=\frac{25}{100}$

3. Calculate total males and females who purchased articles in June:
The ratio of males to females who purchased total articles (A, B, and C) in June is 3:1.
Therefore, the number of males who purchased total articles is:

$\text{Total males}=216\times \frac{3}{3+1}=216\times \frac{3}{4}=162$

4. Calculate males who purchased article A in June:
The ratio of males to females who purchased article A in June is 1:2.
Since the total number of article A sold is 54, the number of males who purchased article A is:

$\text{Males purchasing A}=54\times \frac{1}{1+2}=54\times \frac{1}{3}=18$

5. Calculate males who purchased article C in June:
The total number of article C sold in June is 80.
Given that only 10 females purchased article C, the remaining purchases must have been made by males:

$\text{Males purchasing C}=80-10=70$

6. Find the number of males who purchased article B:
The total number of males purchasing any article is the sum of the males purchasing A, B, and C:

$\text{Total males}=\text{Males purchasing A}+\text{Males purchasing B}+\text{Males purchasing C}$

Substituting the known values:
$162=18+\text{Males purchasing B}+70$
$162=88+\text{Males purchasing B}$
$\text{Males purchasing B}=162-88=74$

Thus, 74 males purchased article B in June.