A man bought oranges at the rate of 8 for $ 34 and sold

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A man bought oranges at the rate of 8 for $ 34 and sold them at the rate of 12 for $ 57. How many oranges should be sold to earn a net profit of $ 45?

Let the man buys 24 oranges. ( ∴ LCM of 8 and 12 = 24 )
C.P. of 8 oranges = $ 34

∴ C.P. of 24 oranges =	34	× 24 = $ 102
	8

S.P. of 12 oranges = $ 57

∴ S.P. of 24 oranges =	57	× 24 = $ 114
	12

Gain = S.P. of 24 oranges - C.P. of 24 oranges = 114 – 102 = $ 12
∵ 12 = 24 oranges

∴ $ 45 =	24	× 45 = 90 oranges
	12