Question

20% of a number is 12 less than two-fifth of that number. find the number​

Answer 1

Given : 20% of a number is 12 less than two-fifth of that number.

To find  :  the number​

Solution:

Let say Number  =  100X

20% of a number  = (20/100)100X  = 20X

two-fifth of that number = (2/5) 100X  = 40X

20% of a number is 12 less than two-fifth of that number.

=> 20X  = 40X  - 12

=> 20X  = 12

=> X = 12/20

=> 100X  = 100 * 12 /20

=> 100X  = 60

Number is 60 .

20% of   60  = 12

two-fifth of 60  = 24

24 - 12 = 12

Verified

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Answer 2

Given:

20% of a number is 12 less than two-fifth of that number.

To find:

The required number

Solution:

$Let \: the \: number \: = x$

$20\% \: of \: a \: number = \dfrac{20}{100} \times x$

$Twofifth \: of \: that \: number = \dfrac{2x}{5}$

According to the given question.

$= > \dfrac{20x}{100} = \dfrac{2x}{5} - 12$

$= > \dfrac{x}{5} = \dfrac{2x - 60}{5}$

$= > 5x = 10x - 300$

$= > 10x - 5x = 300$

$= > 5x = 300$

$= > x = \dfrac{300}{5}$

$= > x = 60$

Hence, the required answer is the number 60

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