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

Find the ratio of the sum of the number of articles A and B together sold in May to the difference between the articles B and C sold in April.

The correct option is 29:2.

To find the required ratio, we first need to determine the individual numbers of articles A, B, and C sold in the months of April and May.

Step 1: Calculate the number of articles sold in April
The table shows that the average number of articles (A, B, and C) sold in April is 100. Since there are three types of articles, the total number of articles sold in April is:
$\text{Total sold in April}=100\times 3=300$
The percentage of article A sold in April is 40%, so:
$\text{Number of article A sold}=40\%\text{of}300=\frac{40}{100}\times 300=120$
The total number of article C sold in April is given as 100.
Now, we can find the number of article B sold in April by subtracting the quantities of A and C from the total:
$\text{Number of article B sold}=300-(120+100)=300-220=80$

Step 2: Calculate the number of articles sold in May
The average number of articles sold in May is 120. Thus, the total number of articles sold in May is:
$\text{Total sold in May}=120\times 3=360$
The percentage of article A sold in May is 30%, so:
$\text{Number of article A sold}=30\%\text{of}360=\frac{30}{100}\times 360=108$
The total number of article C sold in May is given as 70.
Now, we can find the number of article B sold in May:
$\text{Number of article B sold}=360-(108+70)=360-178=182$

Step 3: Find the required values for the ratio
First, find the sum of articles A and B sold in May:
$\text{Sum (A + B in May)}=108+182=290$
Next, find the difference between articles B and C sold in April:
$\text{Difference (C - B in April)}=100-80=20$

Step 4: Calculate the ratio
Now, we take the ratio of the sum to the difference:
$\text{Ratio}=290:20=29:2$