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.

Step 1: Understand the given data for each month

There are three types of articles sold: A, B, and C.
Total number of articles sold in any month = Number of Article A + Number of Article B + Number of Article C = 3 × (Average number of articles sold).

Step 2: Calculate the values for April

Average number of articles sold in April = 100
Total number of articles sold in April = 100 × 3 = 300
Percentage of article A sold in April = 40%
Number of article A sold in April = 40% of 300

$\text{Article A (April)}=\frac{40}{100}\times 300=120$

Total number of article C sold in April = 100
Therefore, number of article B sold in April = Total articles - Article A - Article C

$\text{Article B (April)}=300-120-100=80$

Step 3: Calculate the values for May

Average number of articles sold in May = 120
Total number of articles sold in May = 120 × 3 = 360
Percentage of article A sold in May = 30%
Number of article A sold in May = 30% of 360

$\text{Article A (May)}=\frac{30}{100}\times 360=108$

Total number of article C sold in May = 70
Therefore, number of article B sold in May = Total articles - Article A - Article C

$\text{Article B (May)}=360-108-70=182$

Step 4: Find the required ratio

Sum of the number of articles A and B sold together in May:

$\text{Sum}=108+182=290$

Difference between the articles B and C sold in April:

$\text{Difference}=100-80=20$

Required Ratio:

$\text{Ratio}=\frac{290}{20}=\frac{29}{2}=\mathrm{29:2}$

Thus, the ratio is 29:2.