Question

Ankita has a total of rupees 760 and currency notes in the nomination of rupees 50 rupees 20 and 10 rupees .the ratio of the number of the 50 notes and 20 notes is 3:5. If she has a total of 25 notes how many notes of each denomination she has?

Answer 1

let the ratio of 50 rupees notes to 20 rupees notes is x

therefore , 50 rs : 20 rs = 3x : 5x

let notes of 10 rs be y


therefore, 3x + 5x + y = 25

8x + y =25 ------- ( 1 )

50 rupees 3x notes values , 3x *50 = 150x rs

20 rupees 5x notes values , 5x *20 = 100x rs

10 rupees y notes values , 10y rs

therefore ,

150x + 100x + 10y = 760

250 x + 10y = 760

25x + y = 76 ------- ( 2 )


subtracting eq 1 from 2 we get

17x = 51

x = 3

therefore , 50 rupees notes are , 3×3 =9
which values 50 × 9 = 450 rs


20 rupees notes are , 5×3 = 15
which values 20 × 15 = 300 rs

and 10 rupees one note