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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?

 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?

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let the numbers of notes of ₹100, ₹50 and ₹10 be 2x, 3x and 5x respectively. Valueof₹100=2x×100=200x
Valueof₹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 ₹10notes = 5x = 5000

Thanks

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