Our competitors struggled to sell 350 products last month and we sold 46% more than they did. How many more did we sell?
The correct answer and explanation is:
To find how many more products we sold than our competitors, we need to calculate 46% more than 350, then subtract 350 to find the difference.
Step-by-step Solution:
- Competitors’ sales = 350 products
- We sold 46% more, so we calculate 46% of 350: 46% of 350=0.46×350=16146\% \text{ of } 350 = 0.46 \times 350 = 161
- We sold: 350+161=511 products350 + 161 = 511 \text{ products}
- How many more did we sell: 511−350=161 more products511 – 350 = \boxed{161 \text{ more products}}
✅ Final Answer:
We sold 161 more products than our competitors.
📘 Explanation (300 words):
This problem involves calculating a percentage increase over a base value—in this case, 46% more than the 350 products sold by our competitors. To solve it, we use basic percentage and arithmetic operations.
First, understanding what “46% more” means is key. It indicates an increase from a base value—in this case, the competitor’s 350 units. “46% more than 350” means we must compute 46% of 350 and then add it to the original 350 to find out how many we sold.
To do that, we convert 46% to its decimal form, which is 0.46, then multiply it by 350: 0.46×350=1610.46 \times 350 = 161
This tells us that we sold 161 units more than our competitors. To find the total we sold, we add: 350+161=511350 + 161 = 511
However, since the question specifically asks how many more we sold, we don’t need the total sales (511) as the final answer—only the difference, which is 161 products.
Understanding how to work with percentages is an essential skill in business, especially for comparing performance metrics like sales. This method helps companies assess growth, competitiveness, and strategy success clearly and quantitatively.