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Sunday Times Teaser 3151 – Plant Stock

by BRG on February 11, 2023

by Howard Williams

Published Sunday February 12 2023 (link)

A garden centre bought 500 plants of four different varieties from its supplier. The price per plant of each variety was a whole number of pence and their total average price worked out at exactly one pound.

The number of plants of variety 2 purchased was “d” greater than that of variety 1, and its price per plant was “d” pence less than that of variety 1. Similarly, the number of variety 3 plants equalled the number of variety 2 plus “d” and its price equalled the variety 2 price less “d” pence. Finally, the number of variety 4 plants equalled the number of variety 3 plus “d” and its price equalled the variety 3 price less “d” pence.

What, in pence, is the most that a plant could have cost?

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