Question : There are 480 coins in half rupees, quarter rupees, and 10 paise coins and their values are proportional to 5 : 3 : 1. The number of coins in each case is:
Option 1: 100, 200, and 180
Option 2: 50, 30, and 400
Option 3: 150, 180, and 150
Option 4: 300, 90, and 90
Correct Answer: 150, 180, and 150
Solution :
Given:
The ratio of values = 5 : 3 : 1
Ratio of their numbers = 10 : 12 : 10 = 5 : 6 : 5
⇒ Number of 50 paise coins $=\frac{5}{16}×480 = 150$
⇒ Number of 25 paise coins $=\frac{6}{16}×480 = 180$
⇒ Number of 10 paise coins $=\frac{5}{16}×480 = 150$
Hence, the correct answer is 150, 180, and 150.
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