SULTAN AND 10 JEWELERS

 

    In a past time one of the sultans asked his vizier to make the best  10 jewelers of the country make ten grams of coins.The vizier  distributed   the tasks very meticulously and ordered them to bring the coins to the Sultan’s place on the determined date.But one of the jewelers had made the coins from 9 grams and when the Sultan heard this news he got angry with his Vizier. He told his Vizier that if the vizier found the cheater using only one weighing operation he would forgive his  life. What kind of weighing operation can help the vizier to be forgiven.

SOLUTION
The vizier gives each jeweler a number from 1 to 10 and receives the number of coin from the coins brought by the jewelers.
One coin from the first jeweler’s bag.                                           
Two coins  from the second  jeweler’s bag.     
Three coins from the third  jeweler’s bag.
                                     .
                                      .
                                      .
Ten coins from the tenth jeweler’s bag.
 He weighs all the coins one time.Without any cheating 1+2+3+………….+10 =55 coins that each one is 10 gram should weigh 550 gram.

FINALLY
If it weighs 549 gram the first jeweler is the cheater.
If it weighs 548 gram the second jeweler is the cheater.
If it weighs 547 gram the third jeweler is the cheater.
If it weighs 540 gram the tenth jeweler is the cheater.
 
Thus , the vizier finds the tricker jeweler at once.
 
 
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