Question

if 10% is deducted from a bill , $58.50 remains to be paid . how much is the original bill?

Answer 1

$\LARGE{\bf{\underline{\underline{GIVEN:-}}}}$

• 10% is deducted from a bill, and the resultant amount is $58.50.

$\LARGE{\bf{\underline{\underline{TO:FIND:-}}}}$

• The original bill.

$\LARGE{\bf{\underline{\underline{SOLUTION:-}}}}$

Let the bill be x$.

10% is reducted from x. Therefore, the amount that was deducted is:

$\sf \to 10\% \ of \ x$

$\sf \to \dfrac{10x}{100}$

$\sf \to \dfrac{x}{10}$

So, $\sf \dfrac{x}{10}$ was reducted from the bill.

Now, we know that:

Original amount - reduction = resultant amount.

We know the original amount is x$ (assumed above), the reduction amount is $\sf \dfrac{x}{10}$ and the remaining / resultant amount is $58.50. Therefore, substitute.

$\sf x-\dfrac{x}{10} = 58.50$

$\sf \to \dfrac{10x-x}{10} =58.50$

$\sf \to \dfrac{9x}{10} = 58.50$

$\to \sf x=\dfrac{58.50 \times 10}{9}$

$\sf \to x=\dfrac{585}{9}$

$\boxed{\sf{\green{x=65 \ }}}$

ORIGINAL BILL - 65$.