Aptitude - Percentage - Discussion

If we take x value less than y then a is greater than b.

Ashas Monthly Income = 60% of Deepak Income (78000).

Ashas Monthly Income = 78000*60/100 = 46800.

120% of Maya Income = Ashas Monthly Income (46800).

Maya Income = 46800/120%.

Maya Income = 39000.

Hi,

A = x% of y & B = y% of x.

A/B = x/100*y/y/100*x.

A/B = xy/100/xy/100.

Or A/B = xy/100*100/xy.

On cancellation we get A/B = 1/1.

A = B.

10% of 100 = 90 then 100% of 10 =100 not 90. So how a=b. Wrong answer.

I still don't understand why it is not Answer C.

If I know that A=B, then I can determine the relationship between them, they are the same.

Or don't I understand the statement C? (I'm not a native speaker).

Answer is wrong because take an example.

x = 10, y = 100 (x is less than y).

Then A = x% of y => 90.

B = y% of x => 10.

So, answer is 'D' not 'E'.

10 percent of 100 is 10.

I even don't understand the question.

In such cases always assume some value for x and y.

Let x = 100 and y = 100. (Note-always assume value which is divisible by denominator).

Now A = x%y.

A = x/100*y, but we substitute the assumed value of x and y.

A = 100/100*100 (x = 100, y = 100 assumed value).

You will get:

A = 100.

Now move to next part.

B = y%x.

B = x/100*y, but we again substitute the assumed value of x and y.

B = 100/100*100 it will give you.

B = 100.

Now A = 100 and B = 100 therefore you can say that A = B.

@Abhi.

10% of 100 is 10 only not 90, if it is 10% lower by 100 then it is 90.