1)Deveshi has a total of Rs 590 as currency notes in the denominations of Rs 50, Rs 20 and Rs 10. The ratio of the number of Rs 50 notes and Rs 20 notes is 3:5.If she has a total of 25 notes, how many notes of each denomination she has?
Answers
Answer:
9
Step-by-step explanation:
Let
No. of currency notes of Rs 50 = 3x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x
Amount made by Rs 50 notes = 50 × 3x = 150x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 10 notes = 10 × (25 - 8x) = 250 - 80x
Total money = 590
⇒ 150x + 100x + 250 - 80x = 590
⇒ 170x = 340
⇒ x = 2
Denominations:
Rs 50 = 3 × 2 = 6
Rs 20 = 5 × 2 = 10
Rs 10 = (25 - 8 × 2) = 9
Answer:
Rs 50 → 6notes
Rs 20 → 10notes
Rs 10 → 9notes
Step-by-step explanation:
Ratio of Rs 50 notes to Rs 20 notes= 3:5
let the no. of Rs 50 notes be 3x, Rs 20 notes be 5x and Rs 10 notes be y
ATQ,
3x + 5x + y = 25 ⇒ 8x + y = 25 ..........(i)
3x(50) + 5x(20) + y(10) = 590 ⇒150x + 100x + 10y = 590
⇒15x +10x + y = 59 ⇒25x + y = 59..........(ii)
On solving equation (i) and (ii) ,
we get x= 2 and y =9
So, the no. of Rs 50 notes = 3x= 6notes
Rs 20 notes = 5x= 10notes
and Rs 10 notes = y = 9notes