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?

Question

Philoid · Accepted Answer

Let the number of notes of denominations Rs 100, Rs 50 and Rs 10, be 2x, 3x and 5x respectively.

Hence, Total Amount of 100 Rupees Notes are = 100 × 2x = 200x

Total Amount of 50 Rupees Notes are = 50 × 3x = 150x

Total Amount of 10 Rupees Notes are = 10 × 5x = 50x

Thus, 200x + 150x + 50x = 400000

⇒ 400x = 400000

⇒ x = 1000

So, Number of 100 Rs Notes = 2 × 1000 = 2000

Number of 50 Rs Notes = 3 × 1000 = 3000

Number of 10 Rs Notes = 5 × 1000 = 5000