Answer :
Let's determine the sale price of the tablet computer when it is on a 10% discount. Here’s how you can calculate it step-by-step:
1. Identify the original price:
The original price of the tablet computer is given as [tex]\( P \)[/tex].
2. Calculate the discount amount:
Since the tablet is on a 10% discount, you'll find this by calculating 10% of [tex]\( P \)[/tex].
[tex]\[ \text{Discount amount} = 0.10 \times P \][/tex]
3. Subtract the discount from the original price:
The sale price is the original price minus the discount amount.
[tex]\[ \text{Sale price} = P - \text{Discount amount} \][/tex]
Substituting the discount amount from step 2:
[tex]\[ \text{Sale price} = P - 0.10 \times P \][/tex]
4. Simplify the equation:
Factor out [tex]\( P \)[/tex] from the expression:
[tex]\[ \text{Sale price} = P \times (1 - 0.10) \][/tex]
Simplify inside the parenthesis:
[tex]\[ \text{Sale price} = P \times 0.90 \][/tex]
Therefore, the sale price of the tablet computer, when on a 10% discount, is [tex]\( 0.90 \times P \)[/tex]. If we consider [tex]\( P \)[/tex] being 100, then:
- The discount amount is 10% of 100, which is \$10.
- The sale price is [tex]\( 100 - 10 = 90 \)[/tex] dollars.
Thus, the sale price of the tablet computer in terms of [tex]\( P \)[/tex] is [tex]\(0.90P\)[/tex], which means it retains 90% of the original price.
1. Identify the original price:
The original price of the tablet computer is given as [tex]\( P \)[/tex].
2. Calculate the discount amount:
Since the tablet is on a 10% discount, you'll find this by calculating 10% of [tex]\( P \)[/tex].
[tex]\[ \text{Discount amount} = 0.10 \times P \][/tex]
3. Subtract the discount from the original price:
The sale price is the original price minus the discount amount.
[tex]\[ \text{Sale price} = P - \text{Discount amount} \][/tex]
Substituting the discount amount from step 2:
[tex]\[ \text{Sale price} = P - 0.10 \times P \][/tex]
4. Simplify the equation:
Factor out [tex]\( P \)[/tex] from the expression:
[tex]\[ \text{Sale price} = P \times (1 - 0.10) \][/tex]
Simplify inside the parenthesis:
[tex]\[ \text{Sale price} = P \times 0.90 \][/tex]
Therefore, the sale price of the tablet computer, when on a 10% discount, is [tex]\( 0.90 \times P \)[/tex]. If we consider [tex]\( P \)[/tex] being 100, then:
- The discount amount is 10% of 100, which is \$10.
- The sale price is [tex]\( 100 - 10 = 90 \)[/tex] dollars.
Thus, the sale price of the tablet computer in terms of [tex]\( P \)[/tex] is [tex]\(0.90P\)[/tex], which means it retains 90% of the original price.
