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Cattle Selling (Posted on 2003-03-10) Difficulty: 3 of 5
My friend who owns a farm nearby, has five droves of animals on his farm consisting of cows, sheep and pigs with the same number of animals in each drove. One day he decided to sell them all and sold them to 8 dealers.

Each of the 8 dealers bought the same number of animals and paid at the rate of Rupees 17 for each cow, Rupees 2 for each sheep and Rupees 2 for each pig. My friend received from the dealer in total Rupees 285.

How many animals in all did he have and how many of each kind ?

(Given: 1 Rupee = 100 Paise)

  Submitted by Ravi Raja    
Rating: 1.6667 (3 votes)
Solution: (Hide)
We know that there were five droves with an equal number of animals in each drove and therefore the number must be divisible by 5. As every dealer bought the same number of animals, the number must also be divisible by 8. Hence the number must be a multiple of 40.
Now, it can be found out that this number is equal to 120 and the following figures satisfy the conditions of the problem:
3 cows, 8 sheep and 109 pigs, which is the required answer.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solution116 solutions !!pcbouhid2005-07-19 23:09:48
re: Regarding the Official SolutionTimothy Bard2004-12-27 18:17:57
Regarding the Official SolutionCharlie2003-03-13 08:42:45
Questionre: With the new rupee total--a solution or severalfwaff2003-03-11 23:09:29
With the new rupee total--a solution or severalCharlie2003-03-11 03:23:07
I AM SORRY !!!! PROBLEM CORRECTED........Ravi Raja2003-03-11 03:13:40
Same number of animals?Gamer2003-03-10 12:15:22
re(4): Error in the question? -- Yes on third thought.Charlie2003-03-10 07:57:14
re(3): Error in the question? -- No, wait a second!fwaff2003-03-10 07:33:53
re(2): Error in the question? -- No, wait a second!Charlie2003-03-10 07:16:20
Questionre: Error in the question?Charlie2003-03-10 05:10:56
QuestionError in the question?fwaff2003-03-10 02:32:54
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