Question : A bag has Rs. 20.1 in the form of 1 rupee, 50-paise, and 10-paise coins in the ratio of $5:3:2$. What is the number of 50-paise coins in the bag?
Option 1: 6
Option 2: 9
Option 3: 15
Option 4: 3
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Correct Answer: 9
Solution :
Given: The ratio of 1 rupee, 50 paise and 10 paise coins = $5:3:2$
And the total amount of money in the bag = Rs. 20.1
Let the number of 1 rupee, 50 paise, and 10 paise coins be $5x, 3x$ and $2x$ respectively.
Amount of money constituted by 1 rupee coin = Rs. $5x$
Amount of money constituted by 50 paise coins = Rs. $1.5x$
Amount of money constituted by 10 paise coins = Rs. $0.2x$
So, $5x + 0.5x + 0.2x = 20.1$
⇒ $ 6.7x = 20.1$
⇒ $x = 3$
So, number of 50 paise coins = $3x = 9$
Hence, the correct answer is 9.
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