### Brain Teasers

# Profit

I will sell you 4 CD's for £15 or 7 CD's for £24. I don't mind which as I make the same profit on either deal.

Today I sold 26 CD's. How much profit did I make?

Today I sold 26 CD's. How much profit did I make?

### Answer

£15.If you write your info out as an equation:

7 CD's + profit = £24

- 4 CD's + profit = £15

_____________________

3 CD's = £9

you see that each CD costs £3. So 4 CD's cost £12 and my profit is £3. I said I make the same on either deal.

The only way I can sell 26 CD's is by 5 deals (3@4CD's & 2@7CD's). Making £3 on each means total profit is £15.

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