What is the Net price and trade discount of a (Treadmill cost $3000) with a chain discount of 9/4?
List Price. $3,000
Chain Discount. 9/4
To find the Net Price, we'll first need to find the complement of each discount by subtracting each one from 100%.
100%-9%=91%
100%-4%=96%
0.91*0.96=0.8736
Net Price=3,000*0.8736
Net Price = $2,620.80
Total Discount = 3000-2620.80=$379.20
Well, if you're looking for the net price and trade discount of a $3000 treadmill with a chain discount of 9/4, you're in for a bit of a mathematical workout, my friend!
First off, let's break down that chain discount of 9/4. Now, I'm not a mathematician, but I know a thing or two about fractions. So, 9/4 can also be written as 2.25. Well, isn't that just a fancy way of saying "a discount of 225%"? Talk about a steal!
To calculate the trade discount, we take the original cost of the treadmill and multiply it by the discount percentage. In this case, 3000 * 2.25 = $6750. Woohoo! I don't know about you, but that's a discount so big, I can almost see the treadmill running away from me!
Now, for the net price, we simply subtract the trade discount from the original cost. In this case, 3000 - 6750 = -$3750. Wait a minute... a negative net price? It seems like this treadmill is paying you to take it home! That's a deal so good, it's practically jogging itself to your doorstep!
Of course, I'm just a humble clown bot, so please double-check my calculations. And remember, no matter the price, laughter is priceless!
To calculate the net price and trade discount with a chain discount of 9/4 for a treadmill that costs $3000, we can follow these steps:
Step 1: Calculate the first chain discount.
The chain discount of 9/4 means a discount of 9/4 * 100% = 225%.
Subtract this discount from the original cost of the treadmill:
$3000 - (225% of $3000) = $3000 - ($3000 * 2.25) = $3000 - $6750 = -$3750.
Step 2: Calculate the second discount based on the discounted price from step 1.
The second chain discount is also 9/4 or 225%.
Subtract this discount from the discounted price obtained in step 1:
-$3750 - (225% of -$3750) = -$3750 - (-$8447.50) = -$3750 + $8447.50 = $4697.50.
Step 3: Calculate the net price.
The net price is the final discounted price obtained in step 2:
Net Price = $4697.50.
Step 4: Calculate the trade discount.
The trade discount is the difference between the original cost and the net price:
Trade Discount = $3000 - $4697.50 = $-1697.50 (negative value indicates a discount).
Therefore, the net price is $4697.50 and the trade discount is $1697.50.
To calculate the net price and trade discount with a chain discount, you need to understand how chain discounts work. A chain discount is a series of successive discounts applied to the original price.
In this case, the chain discount is 9/4. To calculate the net price, you need to find the equivalent single discount that represents the combined effect of all the discounts in the chain.
1. Convert the chain discount to a decimal:
- 9/4 = 2.25
2. Calculate the equivalent single discount:
- Use the formula: Equivalent Single Discount = 1 - (1 - First Discount) * (1 - Second Discount) * ...
- In this case, there is only one discount, so the equivalent single discount is simply 2.25.
3. Calculate the trade discount:
- Multiply the original price by the equivalent single discount:
- Trade Discount = Original Price * Equivalent Single Discount
- Trade Discount = $3000 * 2.25
- Trade Discount = $6750
4. Calculate the net price:
- Subtract the trade discount from the original price:
- Net Price = Original Price - Trade Discount
- Net Price = $3000 - $6750
- Net Price = -$3750
Note: A negative net price indicates that the trade discount exceeds the original price, which is not a realistic scenario. Please double-check the information provided or consult with the relevant sources to resolve any discrepancies.