Question

Kaveri has a total rs 590 as currency notes is the denominations ofrs50 , rs 20 , and rs 10 . the ratio of the number of rs 50 note and rs 2o is 3:5. if she has a total of 25 notes , how many notes of each denomination she has?

Answer 1

Let
x = number of rs 50
y = number of rs 20
z = number of rs 10

Because there are 25 total notes,
x + y + z = 25 (1)

The ratio of rs 50 to rs 20 is 3:5, therefore
x = 0.6y (2)

The total amount is rs 590, therefore
50x + 20y + 10z = 590
or
5x + 2y + z = 59 (3)

Subtract (1) from (3).
4x + y = 34 (4)
Substitute (2) into (4).
4*(0.6y) + y = 34
3.4y = 34
y = 10

From (2), obtain
x = 6
From (1), obtain
z = 25 - 6 - 10 = 9

Answer:
Kaveri has
6 rs 50 notes,
10 rs 20 notes,
9 rs 10 notes.