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Sunday Times Teaser 2530

by H Bradley and C Higgins

Published: 20 March 2011 (link)

At the St Patrick’s Day races, Pat backed losers in each of the first three. Starting with £100, he bet a whole-number percentage of his money in the first race and a whole-number percentage of the remainder (but not a whole number of pounds) in the second. In the third, he bet a whole-number percentage of what was left, leaving a whole-number percentage of his £100. This final percentage was the sum of the three percentages he had bet and lost.

How much was lost on the third race?

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