Question

Raja has a total of Rs 590 as currency notes in the denominators of ₹50,₹20 and ₹10 . The ratio of the number of ₹50 notes and ₹20 notes is 3:5. If he has a total of 25 notes , how many notes of each denominator he has?

Answer 1

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

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