Question

when a number is decreased by 25percant it becomes 120 .find the number
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Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

when a number is decreased by 25percant it becomes 120 .find the number

To Find :

find the number

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=>Let the number be 'x'

=>when the number 'x' decreased by 25%

it becomes =25% of 'x'

$= > ( \frac{25}{100} )x = \frac{x}{4}$

Finding number when it decreased by 25%

$= > x - \frac{x}{4} = \frac{4x - x}{4} = \frac{3x}{4}$

Question said after decreased it becomes 120

So, according to the question:-

$= > \frac{3x}{4} = 120$

$= > 3x = 120 \times 4$

$= > 3x = 480$

$= > x = \frac{480}{3} = 160$

$\huge\bold{\boxed{\blue{x=160}}}$

$\huge\mathbb{CHECK}$

$= > \frac{25}{100} \times 160$

$= > \frac{1}{4} \times 160 = 40$

$= > 160 - 40 = 120$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

when a number is decreased by 25percant it becomes 120 .find the number

To Find :

find the number

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

=>Let the number be 'x'

=>when the number 'x' decreased by 25%

it becomes =25% of 'x'

$= > ( \frac{25}{100} )x = \frac{x}{4}$

Finding number when it decreased by 25%

$= > x - \frac{x}{4} = \frac{4x - x}{4} = \frac{3x}{4}$

Question said after decreased it becomes 120

So, according to the question:-

$= > \frac{3x}{4} = 120$

$= > 3x = 120 \times 4$

$= > 3x = 480$

$= > x = \frac{480}{3} = 160$

$\huge\bold{\boxed{\blue{x=160}}}$

$\huge\mathbb{CHECK}$

$= > \frac{25}{100} \times 160$

$= > \frac{1}{4} \times 160 = 40$

$= > 160 - 40 = 120$