Question

In a sale, a cassette recorder was sold for $2071 after a discount of 5% was given. Calculate the marked price of the cassette recorder.

Answer 1

The marked price of the cassette recorder was approximately $2180 before a 5% discount was applied, resulting in the sale price of $2071.

Step-by-step explanation:

Calculating the Marked Price

To calculate the marked price of the cassette recorder, we start by recognizing that the $2071 is the price after a 5% discount. This means that $2071 represents 95% of the original marked price, since 100% - 5% = 95%.

Let's denote the marked price as 'P'. To find P, use the equation:

Discounted Price = (Marked Price × (100 - Discount Percent)) / 100

Plugging in the values, we get:

$2071 = (P × 95) / 100

To solve for P, multiply both sides of the equation by 100/95:

P = $2071 × (100 / 95)

Calculate P by performing the multiplication:

P = $2071 × (100 / 95) ≈ $2180

Therefore, the marked price of the cassette recorder was approximately $2180 before the discount was applied.