Question

Lakshmi is a cashier in a bank she has currency notes of denomination Rs100,Rs50 and Rs10 respectively.the ratio of the no of these notes is 2:3:5 the total cash with lakshmi is Rs4,00,000.how many notes of each denomination dose she have?​

Answer 1

Let Lakshmi have 2x Rs 100 notes, 3x Rs 50 notes and 5x Rs 10 notes.

Amount in Rs 100 notes

$= 100 \times 2x = 200x$

Amount in Rs 50 notes

$= 3x \times 50 = 150x$

Amount in Rs 10 notes

$= 5x \times 10 = 50x$

Therefore,

$200x + 150x + 50x = 400000$

$400x = 400000$

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

$x = 4000$

Therefore,

Number of Rs 100 notes

$= 2 \times 4000 = 8000$

Nunber of Rs 50 notes

$= 3 \times 4000 = 12000$

Number of Rs 10 notes

$= 5 \times 4000 = 20000$

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Answer 2

Given:

• Currency notes of denomination = Rs. 100, Rs. 50 and Rs. 10
• Ratio of these notes = 2:3:5
• Total cash with Lakshmi = Rs. 400000

To Find:

How many notes of each denomination dose she have?

Solution:

Let the numbers of notes of Rs. 100, Rs. 50 and Rs. 10 be 2x, 3x and 5x respectively

Now, let's find the values,

Value of Rs. 100 = $2x \times 100 = 200x$

Value of Rs. 50 = $3x \times 50 = 150x$

Value of Rs. 10 = $5x \times 10 = 50x$

According to the question,

$200x+150x+50x=400000\\\implies 400x=40000$

Now, we have to find the value of x

$\implies x=\frac{40000}{400} \\\implies x=1000$

Numbers of Rs. 100 notes = $2x=\boxed{2000}$

Numbers of Rs. 50 notes = $3x=\boxed{3000}$

Numbers of Rs. 10 notes = $5x=\boxed{5000}$