Discussion
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is
Answer: C
The ₹5 coins hold 10% of the money.
Let the numbers of coins be \(5n\), \(3n\) and \(13n\). Their values are:
\[ \begin{aligned} \text{Total} &= 5n(1) + 3n(5) + 13n(10) \\ &= 5n + 15n + 130n = 150n \end{aligned} \]
The ₹5 coins are worth \(15n\), so their share is \(15n/150n = 10\%\).
\(14\frac{2}{7}\%\) is \(3/21\), the share of ₹5 coins by number, not by value; that is the trap. 21% and 30% match neither the count nor the value.
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