Question

An electronics store sells a laptop for p. During the sales period, the shopkeeper offers a 30% discount on the initial price. A few days after the end of the sales, the shopkeeper starts the «Out of All» campaign to free the warehouse from inventories and applies an additional 20% discount. to. Express the final price of the computer as a fraction of p and verify that it is greater than 50% of the initial price. b. Knowing that the final price is € 448, it determines the initial price p and the amount of the first discount applied.​

Answer 1

• See below

Explanation:

a)

Initial price is p.

30% discounted price:

• p - 30% =
• p*(1 - 0.3) =
• 0.7p

Price after 20% discount:

• 0.7p - 20% =
• 0.7p*(1 - 0.2) =
• 0.7p*0.8 =
• 0.56p

This is greater than the 50% which is 0.5p

b)

If the final price is € 448, the initial price is:

• 0.56p = €448
• p = €448/0.56
• p = €800

The amount of first discount is 30% of € 800:

• 0.3*€800 =
• €240