Question

a person uses 20% larger scale while buying cloth and 20% smaller while selling and claims to sell at cost price, find his profit percent.​

Answer 1

Let, the real cost price of 1 meter cloth be 1 Rs. then actual C.P. of 100 meter cloth should be 100×1 = 100Rs.

Given that :

A person uses 20% larger scale while buying cloth

So, when the person buy 100 meter cloth then he use 20% larger scale then he buys for 100 Rs. = 100×(100+20)/100 = 120 meter

So, he buys 120 meters cloth in just 100Rs.

Also given that :

He uses 20% smaller scale while selling

It means he sells for 100 Rs. = 100×*(100-20)/100 = 80 meters cloth

And he claims to sell at cost price.

So, he sells 80 meters cloth in just 100 Rs.

Then, profit = 120 - 80 = 40

Profit% = (40/100)×100 = 40%

So, he gets 40% profit ✔

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