A radio dealer sold a radio at a loss of 2.5%. Had he sold

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A radio dealer sold a radio at a loss of 2.5%. Had he sold it for 100 more, he would have gained (15 / 2) % . In order to gain (25 / 2) % , he should sell it for

If C.P. of radio be $ x, then 10% of x = 100
⇒ x = 1000

For a gain of 12	1	% ,
	2

S.P. =	1000 × 225	= $ 1125
	200

We can find required answer with the help of given formula :
Here, a = 2.5%,

R = 100, b = 7	1	%
	2

C.P. =	R	× 100
	b + a

C.P. =	100 × 100	= Rs. 1000
	2.5 + 7.5

Now New S.P. = C.P. ×			100 + profit%
			100

Now New S.P. = 1000			100 + 12.5
			100

New S.P. = 10 × 112.5 = $ 1125