Question
In how many ways can Rs. 18.75 be paid in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?
Answer: Option D
:
D
Suppose we take x =50-paisa coins, y = 25-paisa coins and z =10-paisa coins.
We have x + y + z = 85 and 50x + 25y + 10z = 1875, because x, y and z are all integers, z should be a multiple of 5.
Possible values are
xyz263205552584730........23755
So there are eight solutions.
You should notice here that an increase of 5 in z and 3 in x and decrease of 8 in y neither changes the number of coins nor the value.
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:
D
Suppose we take x =50-paisa coins, y = 25-paisa coins and z =10-paisa coins.
We have x + y + z = 85 and 50x + 25y + 10z = 1875, because x, y and z are all integers, z should be a multiple of 5.
Possible values are
xyz263205552584730........23755
So there are eight solutions.
You should notice here that an increase of 5 in z and 3 in x and decrease of 8 in y neither changes the number of coins nor the value.
Was this answer helpful ?
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