Question

Deveshi has a total of ₹ 590 as currency notes in the denominations of ₹ 50, ₹ 20 and ₹ 10. The ratio of the number of ₹ 50 notes and ₹ 20 notes is 2 : 3. If she has a total of 26 notes, how many notes of each denomination she has?​

Answer 1

Answer:

Given Devshi 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 Deveshi 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