# 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 explanation?

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by 817

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by 817

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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.

CP < SP

So, Gain percent = (Gain/CP)*100 = (2/5)*100 = 40%

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%