Question

You ordered from an online company. The original price of the item is $65. Theitem is on sale for 10%, and you have a coupon for an additional 15%. Applying onediscount at a time, what is the final price?$46.96$49.73$49.47$45.45

Answer 1

Given:

The original price, CP=$65.

The initial discount on sale, D1=10%.

The additional discount, D2=15%.

If the cost price(CP) of an item is given, then the selling price after the first discount is applied is,

`SP=CP*(\frac{1-First\text{ }Discount\text{ Percentage}}{100})`

The additional discount is applied to the price after the first discount is applied. So, the final price after applying the second discount is,

`SP^(\prime)=SP*(\frac{1-Second\text{ }Discount\text{ Percentage}}{100})`

Applying the first discount on the original price, the selling price is,

`\begin{gathered} SP=CP*((100-D1))/(100) \\ =65*((100-10))/(100) \\ =58.5 \end{gathered}`

Applying the second discount on the selling price, the final selling price is,

`\begin{gathered} SP^(\prime)=SP_{}*\frac{(100-D2_{})}{100} \\ =58.5_{}*\frac{(100-15_{})}{100} \\ \cong49.73 \end{gathered}`

Therefore, the final price is $49.73.

Note:

The direct formula for the final price if two successive discounts D1 and D2 are applied to a cost price CP is,

`SP=CP*((100-D1)/(100))((100-D2)/(100))`