Question

If 40% of a number exceeds 25% of the same number by 54 then find the number

Answer 1

Answer: 360

Step-by-step explanation:

40% of a number = 40x/100

25% of a number = 25x/100

Exceeds by 54

The equation becomes

(40x/100) - (25x/100) = 54

15x/100 = 54

x= 5400/15

x= 360

Answer 2

Given:

it is given 40% of number is exceeding 25% of same number by 54.

To Find :

Find the number?

Explanation:

• Let the number is x.
• We can write from the given equation $\bf (\frac{40}{100})x=54+(\frac{25}{100})x$

Now

        $\bf (\frac{40}{100})x=54+(\frac{25}{100})x$

         $\bf\frac{40x}{100}-\frac{25x}{100}=54$

• Take the LCM of left hand side

           $\bf\Rightarrow\frac{40x-25x}{100}=54$

• On solving above equation

                 $\bf\Rightarrow\frac{15x}{100}=54$

•  By cross multiply the above equation

             $\bf\Rightarrow15x=54\times100\\\\\bf\Rightarrow\ x=\frac{54\times100}{15}$

•  On cancelling the terms

            $\BF\ x=18\times20\\\\\bf\Rightarrow\ x=360$

 Hence , the  number is 360.