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Question

I have a total of Rs. 300 in coins of denomination Re. 1, Rs. 2 and Rs. 5. The number of Rs. 2 coins is 3 times the number of Rs. 5 coins. The total number of coins is 160. How many coins of each denomination are with me?

A
Number of Re. 1 coins =50; Number of Rs. 2 coins =40; Number of Rs. 5 coins =40
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B
Number of Re. 1 coins =70; Number of Rs. 2 coins =70; Number of Rs. 5 coins =19
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C
Number of Re. 1 coins =80; Number of Rs. 2 coins =60; Number of Rs. 5 coins =20
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D
Number of Re. 1 coins =115; Number of Rs. 2 coins =50; Number of Rs. 5 coins =15
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Solution

The correct option is C Number of Re. 1 coins =80; Number of Rs. 2 coins =60; Number of Rs. 5 coins =20
Given, Total number of coins =160
Given that the number of Rs.2 coins are 3 times the number of Rs. 5 coins.
Number of Rs. 5 coins =x
Number of Rs. 2 coins =3x
Number of Re. 1 coins =160(x+3x)=1604x
Total value of coins = Rs. 300
So, 5×x+2×3x+1×(1604x)=300
5x+6x+1604x=300
7x=140
x=20
So, number of Rs. 5 coins =20
Number of Rs. 2 coins =60
Number of Re. 1 coins =80

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