Question

x% of Y + Y% of x = ?​

Answer 1

Let us Begin:

Statement: Is X% of Y same as Y% of X ?( pause for a moment and think, then proceed)

Let us verify above statement.

X% of Y = X/100 * Y= X*Y/100 -- (1)

&

Y% of X = Y/100 * X= Y*X/100 -- (2)

So, From equation 1 and 2 it is clear that X% of Y has exactly same value as Y% of X.

The above statement reduces our calculation in many percentage problems. Let us take an example.

Ques: Calculate 32 % of 50.

Solution: Since we know, X% of Y and Y% of X are same.

So, 32% of 50 = 50% of 32.

Now there is nothing left to calculate as you all know,

50% = 1/2

So, 50% of 32= 1/2*32= 16.

If you are good in converting percentage into fraction, and you know that X% of Y is same as Y% of X.You can easily reduce calculation in many percentage problems.