Lakshmi is a cashier in a bank. She has the currency of notes of denomination 100RS, 50RS and 10RS respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is 400000RS. How many notes of each denomination does she have?
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Answers
The ratio of the notes is : 2 : 3 : 5
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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Let the numbers of notes of ₹100, ₹50 and ₹10 be 2x, 3x and 5x respectively.
- Value of ₹100 = 2x × 100 = 200x
- Value of ₹50 = 3x × 50 = 150x
- Value of ₹10 = 5x × 10 = 50x
According to the question,
200x + 150x + 50x = 4,00,000
⇒ 400x = 4,00,000
⇒ x = 400000/400
⇒ x = 1000
Numbers of ₹100 notes = 2x = 2000
Numbers of ₹50 notes = 3x = 3000
Numbers of ₹10 notes = 5x = 5000