A man purchased some eggs at 3 for $ 5 and sold them at

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A 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

1. 210
2. 200
3. 195
4. 190

Correct Option: C

Let he buy 15 eggs. [∴ LCM of 5 & 3 = 15 ]
CP of 3 eggs = $ 5
∴ CP of 15 eggs = $ 25
SP of 5 eggs = $ 12
∴ SP of 15 eggs = $ 36
∴ Gain = SP of 15 eggs - CP of 15 eggs = 36 – 25 = $ 11
∵ $ 11 = 15 eggs

∴ $ 143 =	15	× 143 = 195 eggs
	11