# A sold an article to B at a loss of 20% and B sold it to C at a gain of 20%. If C paid Rs.6000 for the article, find the cost price of the article for A.

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by Lovely31

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by Lovely31

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B sold it at a gain of 20%

therefore B's Cost price=(100*Selling price)/(100+profit%)

= (100*6000)/(100+20)

= 600000/120

= 5000

B's Cost price=A's Selling price

A's cost price=(100*Selling price)/(100-loss%)

=(100*5000)/(100-20)

=500000/80

= 6250

Thus,A's Cost price=Rs.6250

Then the cost price for B = x - 20°/. of x [ given that A sold at 20 percent loss to B]

⇒ x- 20x/100

⇒ x - x/5 = 4x/5

∴.C.P for B= 4x/5 rupees

Now C.P for C = 4x/5 + 20percent of 4x/5 [ Given that B sold at 20 percent gain to C]

⇒4x/5 + 20*4x/100*5

⇒4x/5 + 4x/25

⇒24x/25

∴C.P for C = 24x/25 rupees

Given that C.P for C =6000 rs

∴24x/25 = 6000

⇒24x = 6000* 25

⇒x = 150000/24

⇒x = 6500 rs

∴C.P for A = x = 6250 Rs

I think it is a bit confusing but if you try you would understand. I really hope you will understand.