Question

In a sale , normal prices are reduced by 10%. Nathalie bought a pair of shoes in the sale for £54 . What was the original price of the shoes ?

Answer 1

Answer:

£60

Step-by-step explanation:

54=90% (divide by 90 to get one percent)

0.6=1% (multiply by 100 to get 100%)

60=100

Answer 2

Given:

The normal prices are reduced by 10% in a sale i.e., a discount of 10% is given on the shoes to be bought during the sale.

The sale price of the shoes during the sale for Nathalie is £ 54.

To find:

The original price of the shoes

Solution:

Let "x" be the original price or the marked price of the shoes.

We know that the sale price of an item is the final price that is paid by the customer after the discount.

Therefore we can deduce the formula for calculating the sale price as:

Sale Price = Marked Price - Discount ...... (i)

and

The formula for calculating the discount is given as:

Discount = $\frac{Discount\: Percentage}{100}$ × Marked Price ....... (ii)

Now, combining both the formulas in (i) & (ii), we will calculate the original price or the marked price as,

Sale price = Marked Price - [ $\frac{Discount\: Precentage}{100}$ × Marked Price ]

we will now substitute the given values:

$54 = x$ - [ $\frac{10}{100} x$ ]

⇒ $54 = x - 0.1x$

⇒ $54 = 0.9x$

⇒ $x = \frac{54}{0.9}$

⇒ $x =$ £ 60

Thus, the original price of the shoes was £ 60.

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