Question

14. 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?

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Answer 1

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Answer 2

Given :

• Notes with lakshmi of denominations ₹100,₹50 and ₹10
• Ratio of the notes (100 to 50 to 10) = 2:3:5
• Total value of cash = 4,00,000

To Find :

Notes if each denominations with Lakshmi .

Let's Assume :

Let's Assume that :

No. of 100 rupees Notes is 2x

No. of 50 rupees Notes is 3x

No. of 10 rupees Notes is 5x

So, value of 100 rupee Notes = 200x

Value of 50 rupee Notes = 150x

Value of 10 rupees Notes = 50x

Process :

We will first equate the values of the Notes with total value, then find the value of variable. Through this we can easily find the No. of each denominations.

Solution :

Total value of Notes = 4,00,000

$\tt{ \implies \: 200x + 150x + 50x = 400000}$

$\tt{ \implies \:400x = 400000}$

$\tt{ \implies x = \frac{400000}{400} }$

$\implies \tt{x = 1000}$

Hence, No. of 100 rupees Notes = 2000

No. of 50 rupees Notes = 3000

No. of 10 rupees Notes = 5000