An article listed at ₹ 800 is sold at successive discounts

An article listed at ₹ 800 is sold at successive discounts of 25% and 15%. The buyer desires to sell it off at a profit of 20% after allowing a 10% discount. What would be his list price ?

Effective discount

= 25 + 15 −	25 × 15
	100

= 40 – 3.75 = 36.25 %
∴ CP for buyer = (100 – 36.25) % of 800

=	63.75 × 800	= ₹ 510
	100

∴ To gain 20%,

SP = ₹		120 × 510		= ₹ 612
		100

Let the list price be ₹ P.
∴ 90% of P = ₹ 612

⇒	90P	= 612 ⇒ P =	61200
	100		90

= ₹ 680