Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and the skirt for a total of £48. She made1100% profit on the cost of the gloves and 20% profit on the total cost. Work out her percentage profit on the cost of the skirt. Give your answer to one decimal place

11.1%

Step-by-step explanation:

Given:

Molly bought a pair of gloves and a skirt.

The gloves cost £4.

She sold the gloves and the skirt for a total of £48.

She made 100% profit on the cost of the gloves and 20% profit on the total cost.

Question asked:

Percentage profit on the cost of the skirt = ?

Solution:

Cost price of gloves = £4

Profit % = 100

Profit amount =

Sell price of gloves = Cost price + Profit amount

                                =  £4 + £4 = £8

Sell price of both gloves and skirt = £48

Sell price of skirt = £48 -  £8 =  £40

As given, she makes 20% profit on the total cost.

Let cost price of skirt =

Cost price of  both gloves and skirt =

Total Profit =

Sell price of both gloves and skirt =  Cost price of both gloves and skirt + Total profit

By cross multiplication:

By subtracting both sides by 24

By dividing both sides by 6

Cost price of skirt = = £36

Profit = Sell price of skirt - Cost price of skirt

         = £40 - £36 = £4

Profit% =

            =

Therefore,  percentage profit on the cost of the skirt is 11.1%

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step-by-step explanation: