Question

When a number is reduced by 5, it becomes 80% of itself. Find the number.

Answer 1

Answer:

x=25

Step-by-step explanation:

let the no. be x

according to question

$x-5=\frac{80}{100} *x\\\\\x =\frac{80}{100}x+5\\\\x=\frac{80x+500}{100} \\100x=80x+500\\100x-80x=500\\20x=500\\x=25$

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Answer 2

Answer:

The number is 25.

Given:

When a number is reduced by 5, it becomes 80% of itself.

To find:

The number

Solution:

Let the number be x.

80% of x = $\dfrac {80x}{100}$

So,

x-5 = $\dfrac {80x}{100}$

x-5 = $\dfrac {4x}{5}$

x-$\dfrac {4x}{5}$ = 5

$\dfrac {5x-4x}{5}$ = 5

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

x = 5×5

$\boxed {\sf {\purple {x=25}}}$

Verification:

On substituting the value of x as 25 in the equation,

x-5 = $\dfrac {80x}{100}$

25-5 = $\dfrac {80×25}{100}$

20 = $\dfrac {4×25}{5}$

20 = 4×5

20 = 20

LHS = RHS

Hence Verified!

Final answer:

Hence the number is 25.

$\sf \red {☆NOTE:}$ Kindly refer to the attachment for a better understanding.