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Book solution:

If cp(cost price) of 1 kg is x , then sp(selling price) of 1 kg = 96/100 x i.e .96x (4% loss). Which is actually sp of 840 gm.

cp of 840 gm= x/1000*840=.84x

So, when cp =.84x, sp is .96x

when cp=100 , sp = .96x/.84x*100=114.28

i.e 14.28% profit

My workout:

I want to solve it without using the price, like in the above. I know the merchant professes a loss of 4%.

i.e instead of giving 100gm tea, he is giving the customer 104 gm tea, i.e a loss of 4 gm tea.

Since he uses 840 gm in place of 1 kg. So when he will sell 1 kg tea, he professes a loss of 4% i.e he will give customer 1040 gm tea, which actally will be 840/1000*1040 = 873.6 gm.

So he is making a profit of 1000 - 873.6 = 126.4 gm on 1000gm.

So on 100 gm, his profit = 12.64%.

Whats wrong on my workout. is it that the loss/profit % is always on price?

Thank you.