Discussion
A sum of ₹ 27 is in the form of 50 paise, 25 paise and 20 paise coins. The number of 25 paise coins is double the number of 20 paise coins but half the number of 50 paise coins. Then the number of 25 paise coins, is
Answer: D
There are 20 coins of 25 paise.
If there are k coins of 20 paise, there are 2k coins of 25 paise and, since that is half the number of 50 paise coins, 4k coins of 50 paise. Work in rupees:
\[ \begin{aligned} 0.5(4k) + 0.25(2k) + 0.2k &= 27 \\ 2k + 0.5k + 0.2k &= 27 \\ 2.7k = 27,\ k &= 10 \end{aligned} \]
So there are 10 coins of 20 paise, \(2k = 20\) of 25 paise and 40 of 50 paise. Check: 20 + 5 + 2 = 27 rupees. The option 10 is the number of 20 paise coins, not 25 paise coins.
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