Question

If Peter receives 21.00 for buying a watch after a discount of 20% fing the original price of the watch

Answer 1

To find the original price of the watch after Peter received a 20% discount and paid $21.00, divide the amount paid by 0.80. The original price of the watch was $26.25.

Step-by-step explanation:

To find the original price of the watch, we need to consider that Peter received a 20% discount on this price, and the amount he paid was $21.00. The discount is a reduction from the original price, which means that Peter paid 80% of the original price after getting the discount.

To calculate the original price, we can set up a proportion where 80% of the original price (which we can call 'P') is equal to $21.00. This can be represented mathematically as 0.80P = $21.00. To find 'P', you simply divide $21.00 by 0.80.

Step-by-Step Calculation:

1. Represent the remaining percent after the discount as a decimal: 100% - 20% = 80%, which is 0.80 in decimal form.
2. Set up the equation: 0.80 × P = $21.00.
3. Divide both sides of the equation by 0.80 to solve for P: P = $21.00 / 0.80.
4. Calculate the result: P = $26.25.

Therefore, the original price of the watch was $26.25.