Question

find the number which when decreased by 8% become 506

Answer 1

$\underline{\textbf{Hey Mate Here Is Your Answer}}$

$\underline{\textbf{Given To..}}$

Find A Number That If We Decrease 8% Of That Number Then The Number Will Become 506..

So Now Let's Move For Solution ...$\Longrightarrow$

$\underline{\textbf{Solution..}}$

Now Let

$\textbf{The Number Required Be = X }$

So Now 8% Of That Number Would Be Equal To 8% Of X That Is $\Longrightarrow$

$\large{ \mathbf{ \frac{8}{100} \times x }}$

So According To Question If We Reduce This 8% From that Number We Would Get A Sum = 506

Therefore By This We Have$\Longrightarrow$

$\large{\boxed{ \mathbf{ x - \frac{8}{100} \times x = 506}}}$

Now Simplifying LHS We Have $\Longrightarrow$

$\large{\mathbf{x - \frac{8x}{100} = 506}}$

Now Cancelling 2 From Both Numerator And Denominator of 8x/100 We Have..$\Longrightarrow$

$\large{ \mathbf{x - \frac{2x}{25} = 506}}$

Now Taking LCM We Have $\Longrightarrow$

$\large{\mathbf{ \frac{25x - 2x}{25} = 506}}$

That Is $\Longrightarrow$

$\large{ \mathbf{ \frac{ \: 23x}{25} = 506}}$

Now Taking 25 To RHS We Have$\Longrightarrow$

$\large{ \mathbf{23x = 506 \times 25}}$

That Is ..$\Longrightarrow$

$\large{\mathbf{23x = 12650}}$

Now Similarly Taking 23 To LHS We Have$\Longrightarrow$

$\large{\mathbf{x = 12650 \div 23}}$

That Is We Have $\Longrightarrow$

$\large{\boxed{\mathbf{X = 550 }}}$

$\underline{\textbf{Hence The Required Answer Is ..}}$

$\boxed{\boxed{\boxed{\textbf{Required Number Is = 550}}}}$

$\mathcal{\bold{Thanks..}}$