A man purchased an article and sold it to B at a profit

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A man purchased an article and sold it to B at a profit of 25% and B sold it to C at a loss of 10% and C paid $ 675 for it. For how much did A purchase it (in $)?

Let the C.P. of A be $ y, then
According to question ,

		y × 125	×	90	= 675
		100		100

⇒ y =	675 × 100 × 100	= $ 600
	125 × 90

Using the given formula :
Here, r₁ = 25%, r₂ = 10%, (Loss)

C.P. for C = C.P. for A

675 = C.P. for A

C.P. for A =	675 × 100 × 100	= $ 600
	125 × 90