A bag contains Re 1, 50 paise and 25 paise coins whose values are in the ratio 2 : 3 : 4. If there are 480 coins in all, find the number of 50 paise coins.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 120
The ratio given is of the values, not of the numbers of coins. Number of coins \(=\) value \(\div\) value of one coin.
Values: Rs \(2k\), Rs \(3k\), Rs \(4k\)
Re 1 coins \(=2k\); 50 paise coins \(=3k\div0.5=6k\); 25 paise coins \(=4k\div0.25=16k\)
\(2k+6k+16k=24k=480\), so \(k=20\)
50 paise coins \(=6\times20=120\)
There are 120 coins of 50 paise.