During a Merdeka Day celebration,a furniture company marked down the price of a queen size bed by 25%,selling it for $1200. At this reduced selling price,they made a markup of 10% on the selling price.
a) find the regular price of bed before marked down.
b) find the cost of bed.
c) what is the percentage of markup on the selling price of the bed would that furniture company has made if the bed is sold at its regular price
.75p = 1200, so the original price p=1600
Since the profit was 10% of 1200, the cost was 1080.
At 1600, the profit would be 520, or 32.5% of the selling price.
I gotta admire you syntax on that (c) part. That simply cannot be how the question was worded . . .
i try do part c in two method but i don't which one is true..
first method
10/110x100%
= 9.1
second method
= 100-10=90
10/90x100%
= 11.11%
what do you think ?
i dont think i wrote this...
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To find the answers, we need to calculate the regular price of the bed and the cost of the bed.
Let's start with part (a) to find the regular price of the bed before the markdown:
1. The bed was marked down by 25%, which means the selling price is 75% of the regular price.
2. Let's assume the regular price of the bed is denoted as "x".
3. So the selling price after the markdown of 25% is 75% of "x", or 0.75x.
4. We are given that the selling price after the markdown is $1200, so we can set up the equation: 0.75x = 1200.
5. To find the value of "x", we divide both sides of the equation by 0.75: x = 1200 / 0.75.
6. Evaluating the expression, we find that the regular price of the bed before the markdown is $1600.
Now let's move on to part (b) to find the cost of the bed:
1. The cost of the bed is the amount the furniture company paid to acquire the bed before any markups.
2. The markup percentage is given as 10% of the selling price.
3. As the selling price is $1200, the markup amount is 10% of $1200, or 0.1 * $1200 = $120.
4. However, the selling price after the markdown is not the cost, as it includes the markup amount.
5. To find the cost, we need to subtract the markup amount from the selling price: $1200 - $120 = $1080.
6. Therefore, the cost of the bed is $1080.
Finally, let's address part (c) to find the percentage of markup on the selling price if the bed is sold at its regular price:
1. We know that the selling price after the markup is $1200, and the regular price of the bed is $1600.
2. To find the markup percentage, we can calculate the difference between the selling price and the cost (markup amount), and divide it by the cost.
3. The markup amount is $120, and the cost of the bed is $1080, so the difference is $1200 - $1080 = $120.
4. Now we divide the markup amount by the cost: ($120 / $1080) * 100% = 11.11% (rounded to two decimal places).
5. Therefore, the percentage of markup on the selling price of the bed, if sold at its regular price, is approximately 11.11%.
In summary:
a) The regular price of the bed before the markdown is $1600.
b) The cost of the bed is $1080.
c) The percentage of markup on the selling price of the bed, if sold at its regular price, is approximately 11.11%.