Select the correct answerTwo numbers are less than a third number by 40% and 47% respectively. The percent by which the second number is less than the first is?Options11.66%5%15%7%
Question
Select the correct answerTwo numbers are less than a third number by 40% and 47% respectively. The percent by which the second number is less than the first is?Options11.66%5%15%7%
Solution
Let's denote the third number as x.
The first number is less than x by 40%, so it is 60% of x, or 0.6x.
The second number is less than x by 47%, so it is 53% of x, or 0.53x.
We want to find the percent by which the second number is less than the first.
The difference between the first and second number is 0.6x - 0.53x = 0.07x.
To express this difference as a percentage of the first number, we divide by the first number and multiply by 100:
(0.07x / 0.6x) * 100 = 11.66%.
So, the second number is less than the first number by 11.66%.
Therefore, the correct answer is 11.66%.
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