Question

15. Riya has a total af Rs 590 as currency notes in the denominations of
Rs 50, Rs 20 and Rs 10. The Ratio of the number of Rs 59 notes and
Rs 20 notes is 3:5. If she has a total of 25 notes in all, how many
notes of each denomination does she have ?

Answer 1

Given Riya has 590 Rupees

RS50,20&10 are there ⇒ Total 25 notes

Rs50&Rs20 ⇒3:5

Notes of Rs50=3x

Notes of Rs20=5x

Notes of Rs10=25−(3x+5x)=25−8x.

Amount in 50 Rupee notes ⇒50×3x=150x

Amount in 20 Rupee notes ⇒20×5x=100x.

Amount in 10 Rupee notes ⇒10(25−8x)=250−80x

Total Amount =590

⇒150x+100x+250−80x=590

⇒250−80x=590−250

⇒170x=340

∴x=2

So riya has

Notes of Rs.50=3(2)=6i.e;150(2)=300Rs.

Notes of Rs.20=5(2)=10i.e;100(2)=200Rs.

Notes of Rs.10=25−8(2)=9i.e;=90Rs