The missing penny
Here is an ancient puzzle that has always perplexed some people. Two market women were selling their apples, one at three for a penny and the other at two for a penny. One day they were both called away when each had thirty apples unsold: these they handed to a friend to sell at five for 2¢. It will be seen that if they had sold their apples separately they would have fetched 25¢, but when they were sold together they fetched only 24¢.
“Now,” people ask, “what in the world has become of that missing penny?” because, it is said, three for l¢ and two for l¢ is surely exactly the same as five for 2¢.
Can you explain the little mystery?
The explanation is simply this. The two ways of selling are only identical when the number of apples sold at three for a penny and two for a penny is
in the proportion of three to two. Thus, if the first woman had handed over 36 apples, and the second woman 24, they would have fetched 24¢, whether sold separately or at five for 2¢. But if they each held the same number of apples there would be a loss when sold together of l¢ in every 60 apples. So if they had 60 each there would be a loss of2¢. If there were 180 apples (90 each) they would lose 3¢, and so on. The missing penny in the case of 60 arises from the fact that the three a penny woman gains 2¢, and the two a penny woman loses 3¢. Perhaps the fairest practical division of the 24¢ would be that the first woman receives 9.5¢ and the second woman 14.5 , so that each loses 0.5¢ on the transaction.
More puzzles to try-
What is the logic behind these ?3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
Defective stack of coins puzzleThere are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »
Which clock works best?Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »
(Advanced) Cheryl’s Birthday PuzzlePaul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »
Five greedy pirates and gold coin distribution PuzzleFive puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »
Magical flowers!!A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »
Tuesday, Thursday what are other two days staring with T?Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »
How could only 3 apples leftTwo fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »
How Many Eggs ?A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »
HARD MATHS – How much faster is one train from other PuzzleTwo trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »
Most Analytical GOOGLE INTERVIEW Question RevealedLet it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »
Lateral thinking sequence PuzzleSolve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »
How did he know?A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »
Pizza Cost Math Brain TeaserJasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »
Which letter replaces the question markWhich letter replaces the question markRead More »
Which room is safest puzzleA murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »
Richie’s Number SystemRichie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »
Srabon wanted to passThe result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »
Become Normal!!Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »
Sakib Knows The Number!Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »