The fruit thieve. [Logic]
In the famous Trump Tower of Milan, there are three watchmen meant to protect the precious fruits in the campus. However, one day a thief got in without being noticed and stole some precious mangoes. On the way out however, he was confronted by the three watchmen, the first two of whom asked him to part with 1/3rd of the fruits and one more. The last asked him to part with 1/5th of the mangoes and 4 more. As a result he had no mangoes left. What was the number of mangoes he had stolen?
The answer is 15.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
It's not told whether the distribution will be done from the mango remaining after each stage, or from the original number of mangoes. So there are two answers :
(i) Distribution done from the original number :
2 ( 3 n + 1 ) + 5 n + 4 = n ⟹ n = 4 5
(ii) Distribution done from the mangoes remaining after each stage :
5 4 ( 9 4 n − 3 5 ) = 4 ⟹ n = 1 5 .