Practical Dairy Problems i549 



premiums computed on a pro rata basis 



Premiums are often awarded to competitors pro rata, that is, accord- 

 ing to a percentage basis. A certain percentage is taken as a standard, 

 and all candidates must at least attain this standard before they are entitled 

 to a premium. The amount that each competitor receives depends on 

 his standing above the percentage basis, and also on the number of com- 

 petitors who are entitled to a reward. The pro rata method of distributing 

 prizes is advantageous because it tends to prevent unworthy competitors 

 from receiving a prize, and all who attain a certain standard of excellence 

 receive some prize, the amount of which is in proportion to the score 

 received. 



Prizes for dairy products are usually distributed pro rata. This is a 

 very convenient method, for the quaHty of dairy products is expressed 

 in terms of percentage. 



Problem jj: 



A prize of $15 is to be distributed pro rata for the best samples of cream- 

 ery butter. Candidates must receive a score of 90 per cent or above in 

 order to obtain a prize. 



A received a score of 90.5 per cent 



B received a score of 91 per cent 



C received a score of 94 per cent 



D received a score of 95.5 per cent 

 To how much money is each entitled? 



Since 90% is the lowest score a candidate can receive and obtain a 

 prize, 



A would be entitled to i^ points 



B would be entitled to 2 points 



C would be entitled to 5 points 



D would be entitled to 6^ points 

 This is a total of 15 points obtained by all the candidates, and since there 

 are $1 5 to be divided each point would have a value of$I($I5-^I5=^$I). 

 The amount of money to which each successful competitor is entitled is 

 found by multiplying $1 by the number of points that he received. The 

 amounts each one would receive are as follows: 



A $1 X 1.5 =$1.50. Answer. 



B $1 X 2 = $2.00. Answer. 



C$1 X 5 = $5.00. Answer. 



D $1 X 6.5 = $6.50. Answer. 



