Two numbers are less than a third number by 30% and 37% respectively.How much percent is the second number less than the first?10%70%4%3%
Question
Two numbers are less than a third number by 30% and 37% respectively.How much percent is the second number less than the first?10%70%4%3%
Solution
Let's denote the third number as x.
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The first number is less than x by 30%, so it is 70% of x. We can write this as 0.7x.
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The second number is less than x by 37%, so it is 63% of x. We can write this as 0.63x.
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To find out how much percent the second number is less than the first, we need to express the difference between the first and second numbers as a percentage of the first number.
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The difference between the first and second numbers is 0.7x - 0.63x = 0.07x.
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To express this difference as a percentage of the first number, we divide it by the first number and multiply by 100: (0.07x / 0.7x) * 100 = 10%.
So, the second number is 10% less than the first number.
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