Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

Twenty five percent of what number is 24 ?

Answer
VerifiedVerified
407.4k+ views
like imagedislike image
Hint: In the given question, we are required to calculate a specific number whose twenty five percent corresponds to the number provided to us in the problem, 24. We must remember the formula for finding a specific percentage of a number as: Percentage=PartWhole×100%. Percentage of a number corresponds to the share or share in the whole thing.

Complete step by step answer:
So, we find the number whose 25% corresponds to the number 24 by using the formula for percentage as Percentage=PartWhole×100%. Let us assume 25% of the number x to be equal to 24.So, the whole corresponds to the number x and the part corresponds to the number 24 in this case. Also, the percentage is given to us as 25%. So, we substitute these known values in the above mentioned formula. So, we get,
25%=24x×100%

Now, we have to find the value of x in the above equation. We use the method of transposition to shift the terms in the equation and find the value of the variable. So, isolating the variable in left side of the equation and shifting all the constants to right side of equation, we get,
x=2425%×100%
Simplifying the calculations, we get,
x=240025
Simplifying the calculations by cancelling common factors in numerator and denominator, we get,
x=96
So, the value of x is 96.

Hence, twenty five percent of the number 96 is equal to 24.

Note: The percentage formula Percentage=PartWhole×100% can be used to find any parameter in the equation given the other parameters. In the question, we must mind the language and substitute the values of the known parameters at the right place to get to the required answer. The final answer must be given in the whole number quantity by cancelling the common factors in numerator and denominator.