Lakshmi is a cashier in a bank. She has currency notes of denominations Rs.100, Rs.50 and Rs.10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs.4,00,000. How many notes of each denomination does she have?

Let the number of notes of different denominations be x.
∴ Numbers of Rs 100 notes, Rs 50 notes and Rs 10 notes will be 2x, 3x and 5x respectively.
Amount of 100 Rs notes → Rs 100 × 2x = 200x
Amount of 50 Rs notes → Rs 50 × 3x = 150x
Amount of 10 Rs notes → Rs 10 × 5x = 50x
As per the question
Total amount = 400000
200x + 150x + 50x = 400000
400x = 400000
x = 1000
No of Rs 100 notes = 2x = 2 × 1000 = 2000
No of Rs 50 notes = 3x = 3 × 1000 = 3000
No of Rs 10 notes = 5x = 5 × 1000 = 5000