# Sixty melons puzzle [duplicate]

Mohammad is a merchant working at the Rabat open-air market. As usual he met two wholesalers early in the morning: Farid gave him $$30$$ melons to be sold at the price of $$1$$ dirham for three melons. Ali Hamza also gave him $$30$$ melons, but these one were a little bit more costly: he will have to sell them at the price of $$1$$ dirham for two melons. Given the prices at the end of the day he should earn $$25$$ dirhams in total: $$10$$ for selling Farid's melons plus $$15$$ for selling Ali Hamza's.

On their road to the open-air market, Mohammad thinks: "If I sell the cheaper melons first, no one will buy the second ones. But if I sell the expensive melons first, when I switch the price the customers will think that the cheaper ones are rotten and no one will buy them". That's a big problem for Mohammad, but suddenly he has an idea: "I could sell groups of $$5$$ melons for $$2$$ dirhams each". So he does and in short time the happy customers buy all the melons.

Now Mohammad is counting the money: he had $$60$$ melons in total, thus he sold $$60/5 = 12$$ groups of $$5$$ melons each earning $$2$$ dirhams for each group. He have $$2 \times 12 = 24$$ dirhams in his pockets, but wait a minute... he should have $$25$$ if he sold the melons at the original prices.

What happened to the missing dirham? Isn't selling $$3$$ melons for $$1$$ dirham and $$2$$ melons for $$1$$ dirham the same as selling $$5$$ melons for $$2$$ dirhams altogether?

I know this puzzle is a little bit too simple but I think it is a funny one.

Source: translated from the Italian book "Problemi di logica per ragazze e ragazzi svegli" (an old edition no more available for sale).

• I'm afraid this puzzle is a duplicate: Where has Jones lost 1 Rs? Commented Jul 28, 2020 at 15:42
• I'm still going to give it an upvote because the premise of the story amused me. But pity it was duplicate. Commented Jul 28, 2020 at 15:47
• sure it is a dupe, sorry about that. I searched on this website before posting but I couldn't find any duplicate because the story is totally different. I'm going to read this meta post now, hope it will help. Commented Jul 28, 2020 at 16:35
• @melfnt If it's any consolation, it took me a while to find it. Out of desperation I searched for apples, and that was just a lucky guess. Commented Jul 29, 2020 at 7:37
• No need to apologize - sometimes duplicates are hard to find! And having duplicate versions of the same question can be valuable: if they're differently phrased, this will help future people looking for the puzzle.
– Deusovi
Commented Jul 29, 2020 at 14:53