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Question

Ananya has currency notes of denominators Rs 500, rs 100 and Rs 50 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Ananya is Rs 31,000. How many notes of each denomination does she have?

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Solution

Let the number of currency notes of denominations Rs 500, Rs 100 and Rs 50 be 2x, 3x and 5x respectively.

Also, 500(2x) + 100(3x) + 50(5x) = Rs 31000

Or, 10x + 3x + 2.5x = 310

Or, 15.5x = 310

Or, x = 20

Notes of denominations Rs 500, Rs 100 and Rs 50 will be 40, 60 and 100 respectively.


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