A man sold an article at a loss of 20%. If he has sold that

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A man sold an article at a loss of 20%. If he has sold that article for $ 12 more he would have gained 10%. Find the cost price of that article :

Let y be the cost price .
According to question ,
( 100 - 20 )% of y + 12 = ( 100 + 10 )%
⇒ 80% y + 12 = 110%
⇒ 30% y = 12

y =	12	× = $ 40
	30

We can find required answer with the help of given formula :
Here, a = 20%, R = 12, b = 10%

C.P. =	R × 100
	b + a

C.P. =	12 × 100	= $ 40
	12 + 10