A sells an article to B at a gain of 10%, B sells it to

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A sells an article to B at a gain of 10%, B sells it to C at a gain of 5%. If C pays $ 462 for it, what did it cost to A?

Let the C.P. for A be $ y, then
From the question ,

y ×		110	×	105	= $ 462
		100		100

⇒ y =	462 × 100 × 100	= $ 400
	110 × 105

Using the given formula :
Here, r₁ = 10%, r₂ = 5%

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

462 = C.P. for A

C.P. for A =	462 × 100 × 100	= $ 400
	110 × 105