A shopkeeper sold 5/8 of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?
12 1/2%
Let the total number of articles be x. So, the number of articles sold at a gain of 20% = 5x/8, and the number of articles sold at cost price = 3x/8.
Cost price of 5x/8 articles = (5x/8) * (Cost price per article)
Selling price of 5x/8 articles = (5x/8) * (Cost price per article * 1.2) = 1.2 * (5x/8) * (Cost price per article)
For the remaining 3x/8 articles, the selling price is equal to the cost price.
The total gain = (Total selling price) - (Total cost price) = (Selling price of 5x/8 articles) + (Selling price of 3x/8 articles) - (Cost price of total x articles).
After calculation, the overall gain percentage is 12 1/2%.
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Important Questions from Profit & Loss
In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?
Two successive percentage decreases of 25% each is by what percentage less than two successive percentage increases of 25% each? (Round to two decimal places.)
A dishonest merchant sells his grocery using weights that are 12% less than the true weights and makes a profit of 10%. Find his total gain percentage.
A shopkeeper offers the following discount schemes for buyers.
I. Two successive discounts of 15% and 20%
II. Successive discount of 25% and 10%
III. A discount of 33%
The selling price will be minimum under the scheme:Suresh’s expenditure and savings are in the ratio of 3 : 1. His income increases by 25%. If his savings increase by 20%, then by how much percentage does his expenditure increase?
