A bag contains 50 paise, 25 paise and 20 paise coins whose values are in the ratio 5 : 4 : 3. If the total number of coins is 205, find the number of 50 paise coins.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 50
Here the ratio is of the values, not of the numbers. Number of coins \(=\) value \(\div\) value of one coin, so first turn the value ratio into a number ratio.
Values in rupees: \(5k\), \(4k\) and \(3k\)
50 paise coins \(\displaystyle =\frac{5k}{0.50}=10k\)
25 paise coins \(\displaystyle =\frac{4k}{0.25}=16k\)
20 paise coins \(\displaystyle =\frac{3k}{0.20}=15k\)
\(10k+16k+15k=41k=205\), so \(k=5\)
Number of 50 paise coins \(=10\times5=50\)
There are 50 coins of 50 paise.