Question : The ratio of the number of coins of 25 paise, 50 paise, INR 2 and INR 5 is 5 : 4 : 3 : 1, respectively. If the total amount of the coins is INR 285, then the difference between the number of 25 paise and INR 5 coins is:
Option 1: 80
Option 2: 30
Option 3: 40
Option 4: 60
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Correct Answer: 80
Solution :
The value ratio of coins of 25 paise, 50 paise, INR 2 and INR 5 = (5 × 0.25) : (4 × 0.50) : (3 × 2) : (1 × 5)
⇒ Value ratio of coins of 25 paise, 50 paise, INR 2 and INR 5 = 1.25 : 2 : 6 : 5 = 5 : 8 : 24 : 20
Total amount of the coins is INR 285.
Value of INR 5 in this amount = $285×\frac{20}{5+8+24+20}=285×\frac{20}{57}=100$
In INR 100, number of coins of INR 5 = $\frac{100}{5}=20$
Value of 25 paise in this amount = $285×\frac{5}{5+8+24+20}=285×\frac{5}{57}=25$
In INR 100, number of coins of 25 paise = $\frac{25}{0.25}=100$
Difference = 100 – 20 = 80
Hence, the correct answer is 80.
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