Question

if there is a 3 % increase in the operation charges for using a service , the new charges are $ 82 . 70 .how much is the original bill ?​

Answer 1

Word Problem

Given:

  The new charges are $82.70

  Increase in charge for using a service is 3%.

To Find:

   Original bill

Step-by-step explanation:

• Let the original bill be $ x.
• There is a 3% increase in the operation charge for using a service,
• i.e., x + 3% of x
• The new charge is x +3% of x, which is equal to $82.70.

• $x + \frac{30}{100}x = 82.70$

• $\frac{100x}{100} + \frac{30}{100}x$  = $82.70

• $x + \frac{30}{100}x$ = $82.70

• $\frac{130}{100}x$ = $82.70

• $x = 82.70 \times\frac{100}{130}$

• $x = 82.70 \times\frac{10}{13}$

• $x = \frac{872.0}{13}$

• x = 67.077

Hence, the original bill was of $ 67.077.