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# Help me solve this reverse percentage problem. watch

1. Hi. I came across this question when revising, don't understand it. I hope someone can solve it for me. Thanks
2. She sold the Skirt + Gloves for a Grand Total of £42
Code:
`Skirt Total + Gloves Total = 42`
The gloves cost £3, and she made 100% profit on the gloves therefore Gloves profit = £3
Code:
`Gloves Total = 3 + 3`
So
Code:
`Skirt Total = 42 - Gloves Total = 42 - 6 = 36`
She made a 40% profit overall so the Grand Total is 140% of the Total Cost of £42
Code:
`Total Cost * 140% = Total Cost * 1.4 = 42`
So rearrange the formula to obtain the Total cost. Division is the inverse of Multiplication:
Code:
```Total Cost = 42 / 1.4 = 30

Total Profit = 42 - 30 = 12```
The Gloves profit is £3 so
Code:
`Skirt Profit  = 12 - 3 = 9`
The Gloves cost £3 so
Code:
`Skirt Cost = 30 - 3 = 27`
So the percentage profit on the cost of the Skirt is:
Code:
`Percentage Profit = Profit / Cost = 9 / 27 = 0.33333333 = 33.333333333% = 33.3% 1 d.p.`
Does this make sense?
3. (Original post by winterscoming)
She sold the Skirt + Gloves for a Grand Total of £42
Code:
`Skirt Total + Gloves Total = 42`
The gloves cost £3, and she made 100% profit on the gloves therefore Gloves profit = £3
Code:
`Gloves Total = 3 + 3`
So
Code:
`Skirt Total = 42 - Gloves Total = 42 - 6 = 36`
She made a 40% profit overall so the Grand Total is 140% of the Total Cost of £42
Code:
`Total Cost * 140% = Total Cost * 1.4 = 42`
So rearrange the formula to obtain the Total cost. Division is the inverse of Multiplication:
Code:
```Total Cost = 42 / 1.4 = 30

Total Profit = 42 - 30 = 12```
The Gloves profit is £3 so
Code:
`Skirt Profit  = 12 - 3 = 9`
The Gloves cost £3 so
Code:
`Skirt Cost = 30 - 3 = 27`
So the percentage profit on the cost of the Skirt is:
Code:
`Percentage Profit = Profit / Cost = 9 / 27 = 0.33333333 = 33.333333333% = 33.3% 1 d.p.`
Does this make sense?
It is correct! Thank you so much

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