A man purchased some eggs at 3 for Rs 5 and sold them at for Rs12. Thus he gained Rs 143 in all. how many eggs did he purchase?
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Firstly, your question is incomplete. It probably is — "A man purchased some eggs at 3 for rs 5 and sold them at 5 for rs 12. Thus , he gained rs 143 in all. How many eggs did he purchase?"
SOLUTION---- He buys 3 eggs for Rs 5.
Therefore, the cost of 1 egg = Rs 5/3 .
If he buys x eggs, his total cost is thus Rs 5x/3 .
Now,
He sells 5 eggs for Rs 12.
Therefore, the sell price of 1 egg = Rs 12/5 .
If he sells x eggs, his total takings are thus Rs 12x/5 .
Hence, his net gain = (12x/5 - 5x/3) Rs. [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 = Rs 143 .
Therefore, 12x/5 - 5x/3 = 143 => 11x/15 = 143 => x= 195. So, 195 eggs were sold by him.
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