A man sold his watch at a loss of 5%. Had he sold it for

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A man sold his watch at a loss of 5%. Had he sold it for $ 56.25 more, he would have gained 10%. What is the cost price of the watch (in $)?

Let C.P. of watch = $ y

∴ S.P. of watch =	y × 95
	100

S.P. of watch = $	19y
	20

Case II,

S.P. = $			19y	+ 56.25
			20

Profit percent = 10 %

∴		y × 110	=	19y	+ 56.25
		100		20

⇒		11y	-	19y	= 56.25
		10		20

⇒	22y - 19y	= 56.25
	20

⇒	3y	= 56.25
	20

⇒ 3y = 56.25 × 20

⇒ y =	56.25 × 20	= $ 375
	3

We can find required answer with the help of given formula :
Here, a = 5%, and R = $ 56.25, b = 10%

C.P. =			R			× 100
			a + b

C.P. =	56.25	× 100
	10 + 5

C.P. =	56.25	× 100
	15

C.P. =	5625	= $ 375
	15