Question

14. Lakshmi is a cashier in a bank. She has currency notes of denominations
Rs100, R$50 and Rs10, respectively. The ratio of the number of these
notes is 2:3:5. The total cash with Lakshmi is Rs4,00,000. How many
notes of each denomination does she have?
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Answer 1

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Lakshmi is a cashier in a bank. she has currency note of denominations Rs. 100 Rs. 50 and Rs. 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. how many notes of each denominations does she have?

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Let the number of notes of different denomination be x.

∴ Numbers of Rs100 notes, 50 notes and Rs10 notes will be 2x,3x and 5x respectively.

Amount of 100 Rs notes ⇒Rs100×2x=200x

Amount of 50 Rs notes ⇒Rs50×3x=150x

Amount of 10 Rs notes ⇒Rs10×5x=50x

As per the question

Total amount =400000

200x+150x+50x=400000

400x=400000,x=1000

No of Rs 100 notes =2x=2×1000=2000

No of Rs 50 notes =3x=3×1000=3000

No of Rs 10 notes =5x=5×1000=5000

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Answer 2

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