A bag contains 80 coins, with a total amount of Rs. 90. It contains only two rupee, one rupee and 50 paise coins. The number of 50 paise coins and two rupee coins together is equal to the number of one rupee coins. What is the number two rupee coins in the bag?
15
20
35
28
Explanation:
Let the number of 50 paise, one rupee and two rupee coins in the bag be x, y and z respectively.
There are 80 coins with a total amount of Rs. 90.
x + y + z = 80 ……… (i)
0.5x + y + 2z = 90 ………. (ii)
The number of 50 paise coins and two rupee coins together is equal to the number of one rupee coins.
x + z = y ………..(iii)
From (i) and (iii), y = 40
Substituting this in (i) and (ii) and solving this in (i) and (ii) and solving, z = 20 and x = 20
Hence, the number of two rupee coins in the bag is 20.
Hence, Option B
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