The 75 percent of the number whose 35% is 40 is evaluated being equal to 120
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Suppose the number we're taking about be 'x'.
Then, as stated in the question, we get:
25% of x = 40
or
[tex]\dfrac{x}{100} \times 25 = 40\\{x} \times \dfrac{25}{100} = 40\\\\x \times \dfrac{1}{4} = 40\\\\\text{Multiplying 4 on both the sides, we get:}\\\\x = 160[/tex]
Now, we've found the number. It is 160. Its 75% is evaluated as:
[tex]\dfrac{x}{100} \times 75 = \dfrac{160}{100}\times 75 = \dfrac{160 \times 3}{4} = 120[/tex]
Thus, the 75 percent of the number whose 35% is 40 is evaluated being equal to 120
Learn more about percent here:
https://brainly.com/question/11549320
