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Question

A money box contains one rupee and two rupee coins in the ratio $$5:6$$. If the total value of the coins in the money box is $$Rs.\ 85$$. Find the number of two rupee coins.


A
30
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B
22
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C
33
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D
29
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Solution

The correct option is A $$30$$
Let the number of one rupee coins be $$5x$$ and that of two rupee coins be $$6x$$.
Now, value of $$5x$$ one rupee coins $$=$$ Rs. $$1 \times 5x =$$ Rs. $$5x$$ and
value of $$6x$$ two rupee coins $$=$$ Rs. $$2 \times 6x =$$ Rs. $$12x$$
Given, value of coins $$=$$ Rs. $$85$$
$$\Rightarrow 5x+12x=85\\ \Rightarrow 17x=85\\ \Rightarrow x=5$$
So, the number of two rupee coins $$= 6 \times 5 = 30$$
Hence, there are total $$30$$ two rupee coins in the money box.  

Mathematics

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