Question
Download Solution PDFTwo numbers are less than a third number by 30% and 37%, respectively. By how much percent is the second number less than the first?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFTwo numbers are less than a third number by 30% and 37%, respectively.
We need to find by how much percent the second number is less than the first.
Formula used:
Percentage Difference = \(\dfrac{\text{Difference}}{\text{First Number}} \times 100\)
Calculation:
Let the third number be 100.
First number = \((100 - 30) = 70\)
Second number = \((100 - 37) = 63\)
Difference between first and second numbers = \((70 - 63) = 7\)
Percentage Difference = \(\dfrac{7}{70} \times 100\)
⇒ Percentage Difference = \(\dfrac{700}{70} = 10\%\)
∴ The second number is 10% less than the first number.
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