Brain Teasers
The Missing Wonk
Two women, SHEEZA PHOOL and SHIRLEY KNOTT, were selling Kebananas (a cross between a Kebab and a Banana, full of greasy goodness) in the Madadian open market. SHEEZA PHOOL was selling 3 Kebananas for a Wonk (Madadian currency/ 100 Winks= 1 Wonk) and SHIRLEY KNOTT was selling 2 Kebananas for a Wonk.
One day each of them had 30 Kebananas unsold. They put together the two lots of Kebananas and decided to sell 5 Kebananas for Ws. 2. According to their calculation, 3 Kebananas for Ws. 1 and 2 Kebananas for Ws. 1 was exactly the same as 5 Kebananas for Ws. 2
Now, they were expecting to get Ws. 25 for the Kebananas, as they would have got, if sold separately. But to their surprise they got only Ws. 24 for the entire lot of the 60 Kebananas.
Where did the one Wonk go?
One day each of them had 30 Kebananas unsold. They put together the two lots of Kebananas and decided to sell 5 Kebananas for Ws. 2. According to their calculation, 3 Kebananas for Ws. 1 and 2 Kebananas for Ws. 1 was exactly the same as 5 Kebananas for Ws. 2
Now, they were expecting to get Ws. 25 for the Kebananas, as they would have got, if sold separately. But to their surprise they got only Ws. 24 for the entire lot of the 60 Kebananas.
Where did the one Wonk go?
Answer
SHEEZA PHOOL was selling 3 Kebananas for a Wonk. Hence, the average price of one Kebanana is (1/3) = Ws. 0.3333SHIRLEY KNOTT was selling 2 Kebananas for a Wonk. Hence, the average price of one Kebanana is (1/2) = Ws. 0.5
Now they put together 60 Kebananas. Hence, the average price of one Kebanana is (0.3333+0.5)/2 = Ws. 0.4167
But, they were selling 5 Kebananas for Ws. 2. Hence, the average price of one Kebanana is 2/5 = Ws. 0.4
The difference is (0.4167 - 0.4) = 0.0167
There are 60 Kebananas. Hence (0.0167 * 60) = 1
So here is that one Wonk. Thus, one Wonk didn't go anywhere, they did their math wrong.
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Comments
Great puzzle. Don't know about the explanation. When sold separately the 30 bundled in 2's would have made 15 sales (15 W). The 30 bundled in 3's would have made 10 sales (10 W). 60 bundled into 5's made 12 (24 W)sales so some of the dearer ones have been placed in with the cheaper ones to make the number of groups even.
I like it!
Nice explanation Jimbo.
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