If on a marked price, the difference of selling prices with

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If on a marked price, the difference of selling prices with a discount of 30 % and two successive discounts of 20 % and 10 % is $ 72, then the marked price (in rupees) is :

Let the marked price be $ x
Therefore, in case 1,

Selling Price ( SP₁ ) = $	70x	%
	100

Single discount equivalent to successive discounts of 20% and 10%.
Here , a = 20% and b = 10%

Equivalent discount = a + b -	a x b	%
	100

Equivalent discount = 20 + 10 -	20 x 10	%
	100

= ( 30 - 2 ) % = 28%

In the case 2 , Selling Price ( SP₂ ) = $	72x
	100

Therefore, SP₂ - SP₁

$	72x	-	70x	= $ 72
	100		100

⇒	2x	= 72
	100

⇒ 2x = 7200

⇒ x =	7200
	2

x = $ 3600
Hence , the marked price is $ 3600 .