Question

A man has certain notes of denomination Rs.20 and Rs.5 which amount to Rs.380 ,if the no of notes are interchanged then the amount is less then the earlier by Rs.60 ,how many notes of each kind does he have?

Answer 1

Let x no of Rs 20 Notes and y no of Rs 5 notes from the question first statement

20 x + 5y = 380 .......................eq(1)

for interchnaged the notes

5 x + 20 y = 380-60 = 320.............eq(2)

after solving two linier equation you will get,

x = 16 and y =12

so there will be 16 notes of Rs 20 and 12 notes of Rs 5.

Answer 2

let the no of rs20 notes be x
and that of rs.5 be y
then acc to the ques,
20x+5y=380
20y+5x=380-60
            =320
on solving the above linear equations in 2 variables we get,
x=16 y=12
hence, originally there were 16 notes of Rs20 and 12 notes of Rs.5