Question

2 If X-40% of x = 12 then xis
A) <25 B) <26 C) >28 D) >30​

Answer 1

Answer:

20

Step-by-step explanation:

x - 0.4x = 12

0.6x = 12

X = 20

Answer 2

Given:

The equation -

$\bf \dashrightarrow x - 40 \: \% \: of \: x = 12$

What To Find:

We have to find -

The value of x.

Solution:

$\sf \to x - 40 \: \% \: of \: x = 12$

Here 'of' is '×' sign,

$\sf \to x - 40 \: \% \times x = 12$

Also written as,

$\sf \to x - \dfrac{40}{100} \times x = 12$

Multiply 40 with x,

$\sf \to x - \dfrac{40x}{100} = 12$

Can be written as,

$\sf \to \dfrac{x}{1} - \dfrac{40x}{100} = 12$

Find the LCM of 1 and 100,

$\sf \to \dfrac{100x}{100} - \dfrac{40x}{100} = 12$

Take 100 as the common,

$\sf \to \dfrac{100x-40x}{100} = 12$

Subtract 40x from 100x,

$\sf \to \dfrac{60x}{100} = 12$

Take 100 to RHS,

$\sf \to 60x = 12 \times 100$

Multiply 12 with 100,

$\sf \to 60x = 1200$

Take 60 to RHS,

$\sf \to x = \dfrac{1200}{60}$

Divide 1200 by 60,

$\sf \to x = 20$

Verification:

The equation -

$\sf \to x - 40 \: \% \: of \: x = 12$

Substitute the value of x,

$\sf \to 20 - 40 \: \% \: of \: 20 = 12$

Here 40 % can be written as,

$\sf \to 20 - \dfrac{40}{100} \times 20 = 12$

Simplify 40 and 100,

$\sf \to 20 - \dfrac{2}{5} \times 20 = 12$

Multiply 2 with 20,

$\sf \to 20 - \dfrac{40}{5} = 12$

Simiplfy 40 and 5,

$\sf \to 20 - 8 = 12$

Subtract 8 from 20,

$\sf \to 12 = 12$

∵ LHS = RHS

∴ Hence, verified.

Final Answer:

∴ Thus, the value of x is 20.

Note:

Kindly recheck the options given.