A sells an article to B at a gain of 20% and B sells it

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A sells an article to B at a gain of 20% and B sells it to C at a gain of 10% and C sells it to D at a gain of (26 / 2) %. If D pays $ 29.70, A purchased the article for

1. $ 40
2. $ 10
3. $ 20
4. $ 30

Correct Option: C

Let C.P. for A be $ y .

∴ y ×		120	×	110	×	225	= 29.70
		100		100		200

⇒ y =	29.70 × 100 × 100 × 200	= $ 20
	120 × 110 × 225