Varun sells half of the eggs that he has and another half an egg to Vishal. Then he sells half of the balance eggs and another half an egg to Bharat. Then he sells half of the balance eggs and another half an egg to Sona. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?
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Let us suppose Varun has X eggs
So according to the question
He sold (X/2 + 0.5) to Vishal
In this way he sold (X/2 + 0.5) to Bharat and Sona
So we have
(X/2 + 0.5) + ½(X/2 + 0.5)+ 1/2(X/2 + 0.5) +7 = X
=> 7X + 63 = 8X
=> X= 63
63
69
68