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I saw this puzzle in a newspaper today. I know the answer because it was given but I cannot see how to work it out, other than by trial and error, as there does not seem to be enough information.

Some belts were sold at £14.95
The price was reduced to £13.95 and some more were sold.
The price was reduced again to £12.95 and some more were sold.
The total amount taken was £299.95.
How many belts were sold altogether?

I think it must be 21. All the prices end .95, and 21 is the first number that gives an overall remainder of .95.

(I confess I did use Excel to speed up that calculation!)

That's right, chrise. Well done!