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A shopkeeper bought a certain no. of articles If cost price of 7 articles is equal to selling price of 5 articles, find the loss or gain percent with



You have to choose the price of items strategically for easy calculation.
The total cost price and total selling price should be divisible by both 5 and 7, so the total cost and selling price should be LCM of 5 and 7 = 35.
The number of items bought is 7 and let the price for each be 5.
Total cost price = 35
Total selling price for 5 items is 35 (same as cost price for 7 items).
Thus selling price of individual item is 7.
So, Gain percent = (Gain/CP)*100 = (2/5)*100 = 40%
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Please choose my answer as the best answer
Cp of 7 articles=Sp of 5 articles=x
Cp of 1 articles=x/7
Sp of 1 article=x/5

profit=SP-cp=x/5 - x/7 =7x-5x/35= 2x/35

Profit %=2x/35 X  7/x  X 100=40%

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