Question

13. Anil deposited Rs. 73000 in the bank. If the currency notes given by him to the bank were of denominations Re. 10, Rs.50 and Rs.100 in the ratio 3:4:5 respectively. Find the number of notes of each denomination anil deposited.​

Answer 1

• 300 of Rs 10
• 400 of Rs 50
• 500 of Rs 100

Explanation:

Given quantities in the ratio 3:4:5 of notes having values of Rs 10, 50, and 100, you wan to find the numbers of notes that have a total value of Rs 73,000.

Setup

Let x represent the multiplier of the ratio numbers. Then the total value of the notes is ...

10×3x +50×4x +100×5x = 73000

Solution

Simplifying the above equation, we have ...

730x = 73000

x = 100 . . . . . . . . divide by 730

Then the quantities of notes are ...

• Rs 10 notes: 300
• Rs 50 notes: 400
• Rs 100 notes: 500

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Additional comment

The total value is 300×10 +400×50 +500×100 = 3000 +20000 +50000 = 73000, as required.