Question

Pawan is a cashier in a bank. He has currency notes of denominations ₹2000, ₹500 and ₹100 respectively. The ratio of the number of these notes is 1:3:5. If the total cash with Pawan is ₹5,00,000, how many notes of ₹2000 denomination does he have?
(4 Marks)

Answer 1

Given that the denomination notes of ₹2000, ₹500, ₹100 are in the ratio 1:3:5,

No. of ₹2000 denomination notes Pawan has = $x$

No. of ₹500 denomination notes Pawan has = $3x$

No. of ₹100 denomination notes Pawan has = $5x$

(1 Mark)

For ₹2000 notes, amount of money = ₹$2000x$

For ₹500 notes, amount of money = $3x\times 500$ = ₹$1500x$

For ₹100 notes, amount of money = $5x\times 100$ = ₹$500x$

(1 Mark)

Total sum = $2000x+1500x+500x=₹5,00,000$ (Given)

$4000x=₹5,00,000$

$x=₹125$

Number of ₹2000 denomination notes = 125 notes

(2 Marks)