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Ellie bought a scarf and a dress The scarf cost £4 She sold both items for £26 She made 100% profit on the scarf 30% profit on the total cost Work out her percentage profit on the cost of the dress

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Answer:

Explanation:

hold I’m going to put much elaborated steps in the comments

User Shawna
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Answer and Step-by-step explanation:

Let's first calculate the cost of the dress.

If Ellie made a 100% profit on the scarf, that means she sold it for twice the cost, or £8. So, the cost of the scarf was £4.

To find the cost of both items, we can subtract the cost of the scarf from the total price:

Total price = £26

Cost of scarf = £4

Cost of dress = £26 - £4 = £22

Ellie made a 30% profit on the total cost, which includes the cost of both the scarf and the dress.

To calculate the total profit, we can find 30% of the total cost:

30% of £26 = 0.3 x £26 = £7.80

So, Ellie's total profit is £7.80.

To find the percentage profit on the cost of the dress, we need to compare the profit made on the dress to its cost.

Profit on the dress = Total profit - Profit on the scarf

Profit on the dress = £7.80 - £4 = £3.80

So, Ellie made a profit of £3.80 on the dress.

To calculate the percentage profit on the cost of the dress, we can divide the profit by the cost and then multiply by 100 to get a percentage:

Percentage profit on the dress = (Profit on the dress / Cost of dress) x 100%

Percentage profit on the dress = (£3.80 / £22) x 100%

Percentage profit on the dress ≈ 17.27%

Therefore, Ellie made a percentage profit of approximately 17.27% on the cost of the dress.

User Dave Sims
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