SOLUTION: A farmer a made a loss of 21% by selling a sheep for shs. 1540. What percentage profit would she have made if she sold the sheep for ss. 2800

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Question 1185939: A farmer a made a loss of 21% by selling a sheep for shs. 1540. What percentage profit would she have made if she sold the sheep for ss. 2800
Answer by ikleyn(52803) About Me  (Show Source):
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A farmer a made a loss of 21% by selling a sheep for shs. 1540.
What percentage profit would she have made if she sold the sheep for ss. 2800
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When the farmer sold a sheep for shs. 1540, he made a loss of 21%.


It means that shs. 1540 was 100%-21% = 79% of the true/(neutral) price.


So, the true/(neutral price was  1540%2F0.79 = 1949.37.


If in other scenario, the farmer will sell the sheep for shs. 2800, he will make a profit

of  shs.  2800 - 1949.37.


The percentage of the profit then will be  %28%282800-1949.37%29%2F1949.37%29%2A100 = 43.64%  (rounded).    ANSWER

Solved.