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Question

Laxmi is a cashier in a bank.She has currency notes of denominations rs100,rs 50and rs10,respectively.The ratio of the number of these notes is 2:3:5 .The total cash with laxmi is 4,00,000 . How many notes of of each denominations she have.

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Solution

Let her have 2 * N number of Rs 100 notes, 3 * N number of Rs 50 notes, and 5 * N number of Rs 10 notes respectively.

Then the total value of the currency notes will be:
2 N * Rs 100 + 3 N * Rs 50 + 5 N * Rs 10 = Rs 4, 00, 000
=> 200 N + 150 N + 50 N = Rs 4, 00, 000
=> 400 N = Rs 4, 00, 000

=> N = 1, 000

Hence, There are 2N = 2,000 notes of Rs 100 , 3N = 3,000 notes of Rs 50 and finally , 5 N = 5, 000 notes of Rs 10..

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