A man weighed 265 pounds. He lost 25 pounds in 6 months. Then he gained 10 pounds 4 months later.
What percent of his weight did he lose in the first 6 months? Round your answer to the nearest hundredth if necessary.
Answer (1)
Calculate the percentage of weight lost by dividing the weight lost by the initial weight.
Substitute the given values into the formula: 265 25 × 100 .
Perform the calculation: 0.0943396226 × 100 = 9.43396226 .
Round the result to the nearest hundredth: 9.43 .
Explanation
Understanding the problem We are asked to find the percentage of weight the man lost in the first 6 months. We know he initially weighed 265 pounds and lost 25 pounds in 6 months. To find the percentage, we will divide the weight lost by the initial weight and then multiply by 100.
Setting up the Calculation To calculate the percentage of weight lost, we use the formula: Percentage Lost = Initial Weight Weight Lost × 100 In this case, the weight lost is 25 pounds and the initial weight is 265 pounds.
Calculating the Percentage Now, we plug in the values: Percentage Lost = 265 25 × 100 Percentage Lost = 0.0943396226 × 100 Percentage Lost = 9.43396226 ≈ 9.43 We round the result to the nearest hundredth.
Examples
Understanding percentages is crucial in everyday life. For instance, when tracking fitness progress, calculating discounts while shopping, or determining interest rates on loans. In this case, knowing how to calculate the percentage of weight lost helps in monitoring health goals and making informed decisions about diet and exercise. If a product's original price is $100 and it's on sale for 20% off, you save $20. Similarly, if you invest $1,000 and earn a 5% return, you gain $50.
