Posts filed under ‘30 melons’

Circular Reasoning

Harim and Hamed each bring 30 melons to be sold in the market. Harim’s melons are to be sold at a price of 3 for 1 dinar, whereas Hamed’s are to be sold at the higher price of 2 melons for 1 dinar. The total revenue would be 10+15=25 dinars.

The seller fears that selling them as instructed will not work out, and decides to sell the 60 melons at the same time for the price of 3+2=5 melons for 1+1=2 dinars.

However, after selling all melons this way, he only made (60/5)x2=24 dinars.

How could that be?

Mathematical excerpts from The Man Who Counted by Malba Tahan


August 12, 2010 at 4:54 pm Leave a comment