Question

a man purchased some eggs at 3 for $5 and sold them at 5 for $12. he gained $143. in the whole transaction. How many eggs did he purchase

Answer 1

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Answer 2

He buys 3 eggs for $5.  Therefore, the cost of 1 egg = $5/3 . If he buys x eggs, his total cost is thus $f5x/3 .   Now, He sells 5 eggs for $12.  Therefore, the sell price of 1 egg = $12/5 .  If he sells x eggs, his total takings are thus $12x/5 .  Hence, his net gain = (12x/5 - 5x/3) $. [Assuming that all the eggs, that he had previously purchased, are being sold by him], Net gain = 12x/5 - 5x/3, which, we are told = $143 .  Therefore, 12x/5 - 5x/3 = 143 => 11x/15 = 143 => x= 195. So, 195 eggs were sold by him.