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1.
A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbors. Now he is left out with 36 eggs. How many eggs he bought?
- A. 40
- B. 40
- C. 40
- D. 40
Answer: Option C
Explanation:
Let's assume that the man bought x eggs.
Since 10% of the eggs are rotten, the number of good eggs he has is 90% of x, which is 0.9x.
Now, he gives away 80% of the remainder (i.e., 100% - 10% = 90%) to his neighbors, which means he is left with 20% of the remainder. This can be expressed as:
0.2(0.9x) = 36
Simplifying this equation, we get:
0.18x = 36
x = 200
Therefore, the man bought 200 eggs.
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