An egg vendor calls on his first customer and sells half his eggs and half an egg To the second cust...........

Quantitative Aptitude ( CCS) Simplification

An egg vendor calls on his first customer and sells half his eggs and half an egg. To the second customer, he sells half of what he was left with and half an egg, and to the third customer, he sells half of what he was then left with and half an egg. However, he did not break any egg. If, in the end, the vendor was left with three eggs, how many eggs did he have initially?

none of these

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Explanation:

If x is total no of eggs
eggs sold to 1st person = x/2+1/2
eggs left = x/2 -1/2
eggs sold to 2nd person = x/4 - 1/4 +1/2 = x/4 +1/4
eggs left = x/4 -3/4
eggs sold to 3rd person = x/8 - 3/8 + 1/2= x/8 +7/8
so x/8 - 7/8 =3
x -7 =24
x=31
Hence, option 2 is the correct answer.