Question

find the number which when increased by 6% becomes 424

Answer 1

Let the number be x.

By the given condition ,

$x + 6\% = 424$

$x + \frac{6}{100} = 424$

$(multiply \: both \: sides \: by \: 100)$

$100x + 6 = 42400$

$100x = 42400 - 6$

$100x = 42394$

$x = \frac{42394}{100}$

$x = 423.94$

Therefore ,
The number is 423.94
____________________________
$hope \: \: this \: \: helps.$

Answer 2

Given:

A number when increased by 6% gives 424

To find:

The original number

Calculation:

Let the original number be ‘x’. According to the given data the number is increased by 6% to get 424 i.e.,

 $\Rightarrow x+\frac{6x}{100} = 424\\ \\\Rightarrow\frac{100x+6x}{100} = 424\\ \\\Rightarrow 106x= 42400\\ \\\Rightarrow x= 400$

The value of x is 400

Final answer:

The number  which when increased by 6z becomes 424 is 400