## 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

Question

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?

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3 months 2021-11-10T21:39:55+00:00 2 Answers 0 views 0

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

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