A company produces 5 products: P, Q, R, S, and T. The profit margins (in %) are: P-10%, Q-15%, R-20%, S-5%, T-25%. If the company earns a total profit of ₹21,20,000 from equal sales (₹21,00,000) of each product, what is the average profit percentage across all products?
Show Hint
- 15%
- 12%
- 14%
- 13%
The Correct Option is A
Solution and Explanation
To find the average profit percentage across all products, we need to first determine the profit for each product based on their profit margins and sales, then find the total profit percentage. The company earns a total profit of ₹21,20,000 from equal sales (₹21,00,000) of each product. There are 5 products, so the sales for each product is ₹21,00,000.
The steps are as follows:
- Calculate the profit for each product using the formula: Profit = (Profit Margin / 100) × Sales.
- Sum up the profits for all products to find the total profit.
- Calculate the total sales of all products and then compute the average profit percentage using the formula: Average Profit Percentage = (Total Profit / Total Sales) × 100.
| Product | Profit Margin (%) | Sales (₹) | Profit (₹) |
|---|---|---|---|
| P | 10 | 21,00,000 | (10/100)×21,00,000 = 2,10,000 |
| Q | 15 | 21,00,000 | (15/100)×21,00,000 = 3,15,000 |
| R | 20 | 21,00,000 | (20/100)×21,00,000 = 4,20,000 |
| S | 5 | 21,00,000 | (5/100)×21,00,000 = 1,05,000 |
| T | 25 | 21,00,000 | (25/100)×21,00,000 = 5,25,000 |
Total Profit = 2,10,000 + 3,15,000 + 4,20,000 + 1,05,000 + 5,25,000 = 15,75,000
Total Sales = 21,00,000 × 5 = 1,05,00,000
Average Profit Percentage = (15,75,000 / 1,05,00,000) × 100 = 15%
Therefore, the average profit percentage across all products is 15%.
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