A businessman sells a commodity at 10% profit. If he had

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A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for $ 2 less, then he would have gained (50 / 5) %. The cost price of the commodity is

Let the first CP of the commodity be $ 100.
∴ First SP = $ 110
Second CP = $ 90

Gain% =	50	%
	3

∴ Second SP =		100 +	50			% of 90
			3

Second SP = $		90 ×	350			= $ 105
			300

Difference of first and second S.P. = $ (110 – 105) = $ 5
∵ If the difference is $ 5, the CP = $ 100.
∵ If the difference be $ 2, the

C.P. =	100	× 2 = $ 40
	5