The table 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 articles sold in these months, along with the total number of article C sold.

| 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 |

If the price of each article sold in April is Rs. 10 for article A, Rs. $y$ for article B, and Rs. $y + 20$ for article C, and the total revenue generated by selling these articles in April is Rs. 4100, find the value of $3y$.

Question

The table 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 articles sold in these months, along with the total number of article C sold.

| 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                              |

If the price of each article sold in April is Rs. 10 for article A, Rs. $y$ for article B, and Rs. $y + 20$ for article C, and the total revenue generated by selling these articles in April is Rs. 4100, find the value of $3y$.

Accepted Answer

**Solution:**

1. Calculate the total number of articles sold in April:
   - Average number of articles sold = 100
   - Total articles sold = 3 \times 100 = 300

2. Calculate the number of articles A sold in April:
   - Percentage of article A = 40\%
   - Number of article A sold = $$$\frac{40}{100} \times 300 = 120$$$

3. Given total number of article C sold in April = 100

4. Calculate the number of article B sold in April:
   - Total articles sold = 300
   - Articles A + C = 120 + 100 = 220
   - Articles B = 300 - 220 = 80

5. Let the price of article B be Rs. $y$.
   - Price of article A = Rs. 10
   - Price of article C = Rs. $y + 20$

6. Total revenue generated in April is Rs. 4100:
   $$
   $$(120 \times 10) + (80 \times y) + (100 \times (y + 20)) = 4100$$
   $$

7. Simplify the equation:
   $$
   1200 + 80y + 100y + 2000 = 4100
   $$
   $$
   1200 + 180y + 2000 = 4100
   $$
   $$
   180y + 3200 = 4100
   $$
   $$
   180y = 4100 - 3200 = 900
   $$
   $$
   y = \frac{900}{180} = 5
   $$

8. Find $3y$:
   $$
   3y = 3 \times 5 = 15
   $$

**Answer:** 15

Answer

Answer

Answer

Answer