Question

The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?​

Answer 1

The number is:

• 
  `n = 40`

Explanation:

Let 'n' be the number

• Increasing a number by 20% = (n + n×20/100)

• Decreasing a number by 14% = (n - n×15/100)

As the difference between increasing a number by 20% and decreasing the same number by15% is 14.

Thus, the expression becomes

`\left(n\:+\:(n)/(5)\right)\:-\:\left(n\:-\:(3n)/(20)\right)\:=\:14`

`n+(n)/(5)-n+(3n)/(20)=14`

`(7n)/(20)=14`

Multiply both sides by 20

`(7n)/(20)\cdot \:20=14\cdot \:20`

`7n=280`

Divide both sides by 7

`(7n)/(7)=(280)/(7)`

`n=40`

Thus the number is:

• 
  `n = 40`