A bag contains Re 1, 50 paise and 25 paise coins whose values are in the ratio 4 : 5 : 3. If there are 520 coins in all, find the number of 50 paise coins.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 200
The ratio given is of the values, not of the numbers of coins. Number of coins \(=\) value \(\div\) value of one coin.
Values: Rs \(4k\), Rs \(5k\), Rs \(3k\)
Re 1 coins \(=4k\); 50 paise coins \(=5k\div0.5=10k\); 25 paise coins \(=3k\div0.25=12k\)
\(4k+10k+12k=26k=520\), so \(k=20\)
50 paise coins \(=10\times20=200\)
There are 200 coins of 50 paise.