Select the correct answerA man purchased some eggs at 3 for 5 and sold them at 5 for 12. Thus he gained 143 in all. The number of eggs he bought is?Options200210190195
Question
Select the correct answerA man purchased some eggs at 3 for 5 and sold them at 5 for 12. Thus he gained 143 in all. The number of eggs he bought is?Options200210190195
Solution
To solve this problem, we first need to determine the cost price (CP) and selling price (SP) per egg.
- The man bought eggs at 3 for 5. So, the cost price per egg is 5/3.
- He sold them at 5 for 12. So, the selling price per egg is 12/5.
Next, we need to find out how many eggs he sold to gain 143.
- The gain per egg is the selling price per egg minus the cost price per egg, which is (12/5) - (5/3) = 16/15.
- Therefore, the number of eggs he sold to gain 143 is 143 divided by the gain per egg, which is 143 / (16/15) = 134.0625.
Since the number of eggs must be a whole number, we can round this up to 135. However, this number is not in the options provided.
There might be a mistake in the problem or the options provided. Please check the problem and the options again.
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