Le Monde puzzle [#1000…1025]

Le Monde mathematical puzzle launched a competition to celebrate its 1000th puzzle! A fairly long-term competition as it runs over the 25 coming puzzles (and hence weeks). Starting with puzzle #1001. Here is the 1000th puzzle, not part of the competition:

Alice & Bob spend five (identical) vouchers in five different shops, each time buying the maximum number of items to get close to the voucher value. In these five shops, they buy sofas at 421 euros each, beds at 347 euros each, kitchen appliances at 289 euros each, tables at 251 euros each and bikes at 211 euros each, respectively. Once the buying frenzy is over, they realise that within a single shop, they would have spent exactly four vouchers for the same products. What is the value of a voucher?

Le Monde puzzle [website]

At last, the mathematical puzzles proposed by Buser and Cohen in the weekend edition of Le Monde are available on a dedicated webpage. (The website is in French only and is associated with the math magazine Tangentes.) There is of course a one week delay between the publication of the puzzle in the journal and its publication (along with the solution) on the website. A good initiative…

Update (01/01/2016): This initiative did not last long and the puzzles have not been updated for 18 months…