If the first number is 20% less than the second number and the third number is 40% of the first number. How much is the second number as the percent of the third number?
Question
If the first number is 20% less than the second number and the third number is 40% of the first number. How much is the second number as the percent of the third number?
Solution
Let's break this down:
- Let's assume the second number is X.
- According to the problem, the first number is 20% less than the second number. So, the first number is 80% of X, or 0.8X.
- The third number is 40% of the first number. So, the third number is 0.4 * 0.8X = 0.32X.
- Now, we need to find out how much the second number (X) is as a percent of the third number (0.32X).
- To do this, we divide X by 0.32X and multiply by 100 to get the percentage.
- X / 0.32X = 1 / 0.32 = 3.125.
- Multiply 3.125 by 100 to get the percentage, which is 312.5%.
So, the second number is 312.5% of the third number.
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