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Question

A bag contains 5-rupee, 2-rupee, 1-rupee and 50-paise coins. These coins are in the ratio of 4: 3: 2: 1. If the total coins amount to Rs. 285, find out the number of each type of coins.

A
Both A and B
B
20 of 50 paise, 20 Re. 1, 20 of Rs. 2 and 43 of Rs. 5
C
None of the above
D
40 of Rs. 5, 30 of Rs. 2, 20 of Re. 1 and 10 of 50 paise
Solution
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Correct option is B. 40 of Rs. 5, 30 of Rs. 2, 20 of Re. 1 and 10 of 50 paise
A bag contains % rupee, 2 Rupee 1 rupeee and 50 paise coins in ratio $$4:3:2:1$$.

Number of 5 rupee coin : $$=4x$$
number of 2 rupee coin $$=3x$$
Number of 1 rupee coin $$=2x$$
number of 50 paise coin $$:=x$$

Amount of total coins$$=5\times 4x+2\times 3x+1\times 2x+\0.5\times x=28.5x$$

According to the question:
$$285=28.5x$$
$$x=10$$

Put value of x, we get,
40 5 rupee coin,30 2 rupee coin, 20 1 rupee coins, 10 50 paise coins.

Option $$\textbf B$$ is correct

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