in how many ways ₹200 can be paid using the denomination of ₹10 and ₹20
Answers
Answer:
2
If a sum of Rs. 200 is to be paid using these notes of denomination: Rs. 2, 5, 10 and 25 only, using at least one note of each kind, then how many notes will be used?
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Animesh Sanarkar
Answered December 24, 2018
your question is incomplete.
25 notes of 2=50
10 notes of 5=50
5 notes of 10=50
2 notes of 25=50
42 notes will be uses in the above case.
But there is no specific answer. It can vary.
Maximum no. of notes can be used=83.
1 note of 25.
1 note of 10.
1 note of 5.
80 notes of 2.
And minimum no. of notes can be used=14.
5 notes of 2.
1 note of 5.
1 note of 10.
7 notes of 25.
Answer:
The number of ways ₹200 can be paid using the denomination of ₹10 and ₹20 = 9ways
Step-by-step explanation:
To find,
The number of ways Rs. 200 can be paid using the denomination of Rs. 10 and Rs. 20
Let 'x' be the number of Rs. 10 notes and 'y' be the number of Rs. 20 notes.
Since the total amount is Rs. 200 we have
10x+20y = 200
Dividing throughout by 10 we get
x+2y = 20
x = 20 - 2y ---------------(1)
Since 'x' and 'y' can take only natural number values.
Required to find the number of possible solutions of equation (1) such that both 'x' and 'y' are natural numbers
The minimum value 'y' can take is '1' and the maximum value 'y' can take is '9'
Then the possible solutions (x,y) satisfying equation (1) are
(18,1),(16,2),(14,3),(12,4),(10,5),(8,6),(6,7),(4,8),(2,9)
The number of possible solutions of equation (1) = 9
Hence, the number of ways ₹200 can be paid using the denomination of ₹10 and ₹20 = 9 ways
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