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Charity or Party? (Posted on 2003-03-23) Difficulty: 3 of 5
A number of us went out together to a charity fete one day. Our party consisted of four different professional groups, namely – 25 writers, 20 doctors, 18 dentists and 12 bank employees. We spent altogether Rs. 1330.

Later it was found that 5 writers spent as much as 4 doctors, that 12 doctors spent as much as 9 dentists and that 6 dentists spent as much as 8 bank employees.

[Or, in other words: "A Writer spent (4/5) times the amount spent by a Doctor, a Doctor spent (3/4) times the amount spent by a Dentist and a Dentist spent (4/3) times the amount spent by a Bank Employee].

How much did each of the four professional groups spend ?

  Submitted by Ravi Raja    
Rating: 1.5556 (9 votes)
Solution: (Hide)
Given, 5 Writers spent as much as 4 Doctors, 12 Doctors spent as much as 9 Dentists and 6 Dentists spent as much as 8 Bank Employees.
From this information, we can find the proportion in which each of them spent their part of money, thus giving us the following relation:
Writers : Doctors : Dentists : Bank Employees = 5 : 4 : 3 : 4
Also, it is given that 25 Writers, 20 Doctors, 18 Dentists and 12 Bank Employees together contribute Rupees 1330.
Now, from the above relations, we can easily calculate that:
20 Doctors = 25 Writers, 18 Dentists = 30 Writers and 12 Bank Employees = 15 Writers.
Thus giving us the following:
The amount paid by each Writer = 14 Rupees.
Therefore, the total amount paid by 25 Writers = (14 x 25) = 350 Rupees and from here we can calculate the remaining figures that are required.

Thus, we have the following conclusion: The Writers spent Rupees 350, the Doctors also spent Rupees 350, the Dentists spent Rupees 420 and the Bank Employees spent Rupees 210. Thus they spent altogether Rupees 1330.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionpuzzle solutionK Sengupta2007-11-29 04:51:01
re(2): QRandyOrton2004-11-23 16:33:49
re: QFernando2003-03-26 14:17:43
QuestionQsilvis2003-03-26 14:01:03
re: solutionCharlie2003-03-24 05:28:52
SolutionNo SubjectDJ2003-03-23 10:33:16
SolutionsolutionCharlie2003-03-23 06:07:48
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