# Q.14 Lakshmi is a cashier in a bank. She has currency notes of denominations  ₹100,  ₹50 and  ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is  ₹4,00,000. How many notes of each denomination does she have?

Since the ratio of currency notes is 2:3:5. Therefore,

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

Hence according to the question equation becomes,

1002x + 503x + 105x = 400000

or           200x + 150x + 50x  = 400000

or                   400x = 400000

Dividing both sides by 400 we get,

x = 1000 .

No. of Rs.100 notes = 21000 = 2000 notes

No. of Rs.50 notes = 31000 = 3000 notes

No. of Rs.10 notes = 51000 = 5000 notes

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