Question

if 11% of a number exceeds 7% of the same by 18, the number is

Answer 1

Let the number be x.

Then, 11% of x=11x/100

And,

7% of x= 7x/100

Now, according to the question:

$\frac{11}{100} x = \frac{7}{100} x + 18$

So, transposing 7x/100 to the left hand side, we have:

11x/100-7x/100=18

4x/100=18

4x=18×100=1800

x= 1800/4=450

Thus, the required number is 450.

See it in the attachment to check how it is done.