In a wallet, there are Tk 500, Tk 200, and Tk 100 notes in the ratio 2 : 5 : 7. The total amount of money in the wallet is Tk 13,500. Find the number of each note respectively.

Question: In a wallet, there are Tk 500, Tk 200, and Tk 100 notes in the ratio 2 : 5 : 7. The total amount of money in the wallet is Tk 13,500. Find the number of each note respectively.

Solution:
Let,
Number of Tk 500 notes = 2x
Number of Tk 200 notes = 5x
Number of Tk 100 notes = 7x

According to the question,
(500 × 2x) + (200 × 5x) + (100 × 7x) = 13500
⇒ 1000x + 1000x + 700x = 13500
⇒ 2700x = 13500
⇒ x = 13500/2700
∴ x = 5

∴ Number of Tk 500 notes = 2 × 5 = 10
∴ Number of Tk 200 notes = 5 × 5 = 25
∴ Number of Tk 100 notes = 7 × 5 = 35