Lakshmi is a cashier in a bank. she has currency notes of denomination 100, 50 and 10, respectively. the ratio of the number of these notes is 2:3:5. the total cash with Lakshmi is Rs400000. how many notes of each denomination does she have?

Answer 1

Let the number of 100 Rs, 50 Rs, and 10 Rs notes be represented as 2x, 3x, and 5x respectively, where \(x\) is a common multiplier.

Now, we can calculate the total value of the notes:

• The total value of 100 Rs notes = \(2x \times 100 = 200x\)
• The total value of 50 Rs notes = \(3x \times 50 = 150x\)
• The total value of 10 Rs notes = \(5x \times 10 = 50x\)

Now, adding these values together: \[ 200x + 150x + 50x = 400x \]

According to the problem, the total amount of cash is Rs 400,000. Therefore, we have: \[ 400x = 400000 \]

To find \(x\): \[ x = \frac{400000}{400} = 1000 \]

Now we can find the number of notes of each denomination:

• Number of 100 Rs notes = \(2x = 2 \times 1000 = 2000\)
• Number of 50 Rs notes = \(3x = 3 \times 1000 = 3000\)
• Number of 10 Rs notes = \(5x = 5 \times 1000 = 5000\)

Thus, Lakshmi has:

• 2000 notes of 100 Rs,
• 3000 notes of 50 Rs,
• 5000 notes of 10 Rs.