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Salary rises puzzle

Question

There is a famous puzzle which some people think hard and others consider easy. No matter what they think, they are usually wrong!

Two men were engaged by a certain firm. Each of them was given a starting salary of £100 a year. Then they were offered the choice between a rise of £20 each year, or a rise of £5 each half-year. One chose the first, and the other the second. Which was the wiser?

Answer

It should be immediately obvious that getting a rise of £20 each year is better than a rise of £10 each year. For those that distrust the obvious, consider this table:-

  £5.00 each 6 months £20.00 each year
Period Salary Pay for
period
Running
total
Salary Pay for
period
Running
total
Year 1, 1st half £100.00 £50.00 £50.00 £100.00 £50.00 £50.00
Year 1, 2nd half £105.00 £52.50 £102.50 £100.00 £50.00 £100.00
Year 2, 1st half £110.00 £55.00 £157.50 £120.00 £60.00 £160.00
Year 2, 2nd half £115.00 £57.50 £215.00 £120.00 £60.00 £220.00

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