Question

Pawan 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 1,000 denomination does he have?

• A. 250

Answer 1

The correct option is A 250
Given that the notes of denomination 1000, 500, 100 are in the ratio 2 : 3 : 5.

Let the number of notes of denomination1000 be $2x.$
Therefore, the amount = $₹2000x$

Let the number of notes of denomination 500 be $3x.$
Therefore, the amount = $₹1500x$

Let the number of notes of denomination100 be $5x$
Therefore, the amount = $₹500x$

Given: Total amount = $₹5,00,000$

$2000x+1500x+500x=₹5,00,000$

$4000x=5,00,000$

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

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