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A dealer offers sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. 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?

A dealer offers sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. 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? Correct Answer 63

Given:
Number of eggs left with the dealer = 7

Concept used:
In this type of question, we solve it from the end according to the given conditions.

Calculation:
Number of eggs he had before selling an egg to Sivani = (7 + 1/2) × 2
⇒ 14 + 1
⇒ 15
Number of eggs he had before selling an egg to Deepak = (15 + 1/2) × 2
⇒ 30 + 1 
⇒ 31
Number of eggs he had before selling an egg to Anurag = (31 + 1/2) × 2
⇒ 62 + 1
⇒ 63
∴ The dealer had started with 63 eggs.

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