Question

Scarlett wants to buy a handbag. The sale price is $20 at a 60% discount. What was its original price?

• A. $40
• B. $50
• C. $33.33
• D. $20

Answer 1

The correct option is B $50

We know,

Selling price = Original price – Discount

Let 100x be the original price.

The discount provided is 60% on the original price.

So, discount amount
$=60\%\times 100x$
$=\frac{60}{100}\times 100x$
$=60x$

Actual selling price of the bag = 20 dollars

Substituting the values, we get:
$\$20=100x–60x$
$\Rightarrow \$20=40x$
$\Rightarrow x=\frac{\$20}{40}=\$0.5$

So, value of 100x = 100 × 0.5 = $50

Hence, the original price is 50 dollars.