Question

Pawan is a cashier in a bank. He has currency notes of denominations 1000, 500 and 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is ₹5,00,000, then how many notes of ₹1000 denomination does he have?

Answer 1

Given that the denomination notes of 1000, 500, 100 are in the ratio 2:3:5.

Number of 1000 denomination notes with Pawan = $2x$
Therefore, amount = $₹2000x$

Number of 500 denomination notes with Pawan = $3x$
Therefore, amount = $₹1500x$

Number of 100 denomination notes with Pawan = $5x$
Therefore, amount = $₹500x$

Total amount = $₹5,00,000$ (Given)

$2000x+1500x+500x=₹5,00,000$

$4000x=5,00,000$

$x=\frac{5,00,000}{4,000}=125$

Therefore, number of 1000 denomination notes = $2x=2\times 125$
= $250$ notes.