In your wallet, there are Tk 1000, Tk 500, and Tk 200 notes in the ratio 3:7:5. The total amount of money in the wallet is Tk 22,500. Find the number of each note.

Question: In your wallet, there are Tk 1000, Tk 500, and Tk 200 notes in the ratio 3 : 7 : 5. The total amount of money in the wallet is Tk 22,500. Find the number of each note respectively.

Solution:
Let,
The number of Tk 1000 notes = 3x
The number of Tk 500 notes = 7x
The number of Tk 200 notes = 5x

According to the question,
(1000 × 3x) + (500 × 7x) + (200 × 5x) = 22500
⇒ 3000x + 3500x + 1000x = 22500
⇒ 7500x = 22500
⇒ x = 22500/7500
∴ x = 3

∴ Number of Tk 1000 notes = 3 × 3 = 9
∴ Number of Tk 500 notes = 7 × 3 = 21
∴ Number of Tk 200 notes = 5 × 3 = 15