SOLUTION: A man buys x loaves of bread at y rand per hundred. one sixth of the loaves are given to charity. At what price per loaf p must he sell the remaining loaves so that he neither gain

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Question 919112: A man buys x loaves of bread at y rand per hundred. one sixth of the loaves are given to charity. At what price per loaf p must he sell the remaining loaves so that he neither gains nor loses any money
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The man wants cost and revenue to be equal.

Cost: x%28y%2F100%29 in units of "rand". The man now has x loaves.

Revenue: Man has %285%2F6%29x loaves because he gave 1%2F6 to charity.
%285%2F6%29x%2Ap, the revenue of this bread to be sold.

x%28y%2F100%29=%285%2F6%29xp
Solve for p.


y%2F100=%285%2F6%29p

%286%2F5%29%28y%2F100%29=p

p=%283y%29%2F%285%2A50%29

highlight%28p=%283y%29%2F250%29