Question

Lakshmi is a cashier in a bank. She has currency notes of denominations ₹ 100, ₹ 50 and ₹ 10, respectively. The ratio 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?

Answer 1

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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 these notes is 2 : 3 : 5. The total cash with Lakshmi is ₹ 4,00,000. How many notes of each denomination does she have?

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• Let Lakshmi has notes of ₹ 100 , ₹ 50 and ₹ 10 as 2x , 3x and 5x respectively.

____________________________

• No. of ₹ 100 notes = 2x
• Total value = ₹ 100 × 2x
• ₹ 200x

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• No. of ₹ 50 notes = 3x
• Total value = ₹ 50 × 3x
• ₹ 150x

____________________________

• No. of ₹ 10 notes = 5x
• Total value = 10 × 5x
• 50x

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$\textbf{According to the question -}$

$\implies200x + 150x + 50x = 400000 \\ \implies400x = 400000 \\ \implies x = 1000$

$\implies no. \: of \: rs \: 100 \: notes = 2 \times 1000 \\ \implies2000$

$\implies no. \: of \: rs \: 50 \: notes = 3 \times 1000 \\ \implies3000$

$\implies no. \: of \: rs \: 10 \: notes = 5 \times 1000 \\ \implies5000$

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Answer 2

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