A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
By what percentage is the grapefruit heavier than the apple?
20 is the correct answer
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To find out by what percentage the grapefruit is heavier than the apple, we can follow these steps:
Step 1: Let's assume that the weight of the orange is 100 units to make calculations easier.
Step 2: According to the given information, the grapefruit is 8% heavier than the orange. Thus, its weight is 100 + (8% of 100) = 100 + 8 = 108 units.
Step 3: Similarly, the apple is 10% lighter than the orange. Therefore, its weight is 100 - (10% of 100) = 100 - 10 = 90 units.
Step 4: Now, we need to find the percentage difference between the grapefruit (108 units) and the apple (90 units).
Step 5: To calculate the percentage difference, we use the following formula:
Percentage Difference = ((Value2 - Value1) / Value1) * 100
Using the formula, we can calculate the percentage difference between the grapefruit and the apple as:
((108 - 90) / 90) * 100 = (18 / 90) * 100 = 20%
Therefore, the grapefruit is 20% heavier than the apple.