Post History
#6: Post edited
by
Agent Smith
·
2023-11-15T10:50:48Z (5 months ago)
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}$.
When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.- **EDIT 1 END**
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}$.
- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}$.
- **EDIT 1 END**
#5: Post edited
by
Agent Smith
·
2023-11-15T06:22:02Z (5 months ago)
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}.- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.
- **EDIT 1 END**
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}$.
- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.
- **EDIT 1 END**
#4: Post edited
by
Agent Smith
·
2023-11-15T06:20:10Z (5 months ago)
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}.
- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.
**EDIT 1 END*
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}.
- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.
- **EDIT 1 END**
#3: Post edited
by
Agent Smith
·
2023-11-15T06:19:38Z (5 months ago)
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
- ---
- **EDIT 1 START**
- *Intuitively*, we begin where it starts (tautologies are always so out there), which is Discount (as a) percentage (of cost price) = $\frac{c - s}{c} \times 100$, where $c$ = cost price and $s$ is the selling price.
- Notice that $\frac{c - s}{c} \times 100 = (c - s) \times \frac{100}{c}$. What we've achieved by doing this is that we can compare how the *discount percentage* varies with how $c$ relates to $100$.
- When $c = 100$, we get $c - s$ which is the absolute discount amount, which is also equal to the discount percentage.
- When $c < 100$,$c - s$ gets multiplied by an *improper fraction* $\frac{100}{c} > 1$, which means the absolute discount amount $c - s$ will be less than the percentage discount $\frac{c - s}{c} \times 100$ which we saw is the same as $(c - s) \times \frac{100}{c}.
- When $c > 100$, $c - s$ gets multiplied by an *proper fraction* $\frac{100}{c} < 1$, which means the absolute discount amount $c - s$ will be greater than the percentage discount $\frac{c - s}{s} \times 100$, which we say is the same as $(c - s) \times \frac{100}{c}.
- **EDIT 1 END*
#2: Post edited
by
Agent Smith
·
2023-11-14T16:59:27Z (5 months ago)
- If cost is $c$, sold for $s$, discount, $d = c - s$
If $c < 100$, discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$If $c > 100$, absolute discount = $c - s$- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- If cost is $c$, sold for $s$, discount, $d = c - s$
- Discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
- Absolute discount = $c - s$
- As you can see ...
- 1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
- 2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.
- 3. When $c = 100$, The absolute discount = The percentage discount. $\frac{100}{c} = \frac{100}{100} = 1$
#1: Initial revision
by
Agent Smith
·
2023-11-14T16:56:31Z (5 months ago)
If cost is $c$, sold for $s$, discount, $d = c - s$
If $c < 100$, discount percentage = $\frac{c - s}{c} \times 100 = (c - s)\times \frac{100}{c}$
If $c > 100$, absolute discount = $c - s$
As you can see ...
1. When $c < 100$, $\frac{100}{c} >1$, and so, $(c - s)\times \frac{100}{c} > (c - s)$. The percentage discount > The absolute discount.
2. When $c > 100$, $\frac{100}{c} < 1$, and so $(c - s) \times \frac{100}{c} < (c -s)$. The absolute discount > The percentage discount.