SOLUTION: A fruit-seller sells grapes at a loss of 23% and uses false weight which is 30% less than the original weight. What is his gain or loss percentage?

Question 1143344: A fruit-seller sells grapes at a loss of 23% and uses false weight which is 30%
less than the original weight. What is his gain or loss percentage?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The wording of the problem allows at least two different interpretations.

The simple interpretation is that his loss percentage is 23% -- it is given in the statement of the problem.

However, it is not likely that that is the intended meaning of the problem....

So let's look at the other interpretation.

A 23% loss means he is selling the grapes for 77% (0.77) of their actual value.

But since the false weight is 30% less than the actual weight, the actual weight is 70% of the false weight. That means the amount of grapes he has is 10/7 of what the false weight says.

So his profit/loss is

ANSWER: He has a profit of 10%.
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