A trader allows two successive discounts of 30% and 15%

A trader allows two successive discounts of 30% and 15% on selling an article. If he gets ₹ 476 for that article, find its marked price.

Single equivalent discount =		30 + 15 −	35 × 15		% = 40.5%
			100

If the marked price be M, then

M ×	100 × 40.5	= 476
	100

⇒ M =	476 × 100	= ₹ 800
	59.5

Alternate method to solve this question :
Here, S.P. = Rs. 476, D₁ = 30%,D₂ = 15%

S.P. = M.P.		100 − D₁			100 − D₂
		100			100

476 = M.P.		100 − 30			100 − 15
		100			100

M.P. =	4760000
	70 × 85

M.P. = ₹ 800