a man has a certains notes of demonination 20rs and 5rs which amount to 380if the number of notes of each kinds is interchanged they amount to 60rs less as before.find the number of notes in the denomination
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Step-by-step explanation:
Let’s consider the number of 20 rupee notes to be x
And the number of 5 rupee notes be y
Then, according to the given conditions, we have
20x+5y=380 … (i) and
5x+20y=380−60
⇒5x+20y=320 … (ii)
Now, multiplying eq(i) by 4 and subtracting with eq(ii), we get
(80x+20y)−(5x+20y)=1520−320
⇒75x=1200
⇒x=
75
1200
⇒x=16
On substituting the value of x in eq(i), we get
20(16)+5y=380
⇒320+5y=380
⇒5y=380−320=60
⇒y=
5
60
⇒y=12
Therefore,
The number of 20 rupee notes =16 and
The number of 5 rupee notes =12
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