A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now he is left out with 36 eggs. How many eggs he bought?

Question: A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now he is left out with 36 eggs. How many eggs he bought?

Solution:
ধরি, মোট ডিম = x টি
10% পচা ডিম
পচা ডিম = 10% of x = 0.1 x
তাহলে ভালো ডিম = 0.9 x

ভালো ডিমের 80% প্রতিবেশীদের দেয়
দেওয়া ডিম = 80% of 0.9 x = 0.72 x

∴ অবশিষ্ট ডিম = 0.9x - 0.72 x = 0.18 x
অবশিষ্ট ডিম = 36

ATQ,
0.18 x = 36
⇒ x = 36 ÷ 0.18
⇒ x = 200