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# What will be the value for 20% of 800 ?(a) 160(b) 16(c) 1600(d) None of these

Last updated date: 10th Aug 2024
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Hint: To solve this problem we need to first know that how to find the X% of a quantity Y. X% of the Y would be given as $X\%\,of\,Y\,=\dfrac{X}{100}\times Y$. So in this question if we take X equal to 20 and Y equal to 800 and put it in the formula $X\%\,of\,Y\,=\dfrac{X}{100}\times Y$ then after solving it we will get our required answer.

In this problem we have to find the 20% of 800,
So to solve this problem, we should know that what is the meaning of percentage,
we define percentage as like this,
Y% Percentage is defined as the Y parts per hundred parts of the given quantity.
And Y% of the Z amount is given by = $\dfrac{Y}{100}\times Z$
Now for this particular question,
If we substitute the value of Y equal to 20 and Z equal to 800 in the equation,
$Y\%\,of\,Z\,=\dfrac{Y}{100}\times Z$
then we get,
20% of 800 = $\dfrac{20}{100}\times 800$
Cancelling 800 with 100 will give us 8, so
20% of 800 = $20\times 8$
20% of 800 = 160

So, the correct answer is “Option A”.

Note: To solve these kinds of problems you should have prior knowledge of how to calculate the percentage so remember the mentioned formulas in the solution to find percentage. There are many alternative ways through which you can solve this problem, as we know that percentage is associative so if we could calculate the 10% of 800 and multiply it by 2, it would also give us the correct answer but it will be a bit lengthy than the solution mentioned.