Question:

Praveen has Rs. 4,662 in the form of 2, 5, and 10 rupee notes. If these notes are in the ratio of 3:5:8, the number of five rupee notes with him is ..............

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In ratio-based currency problems, always multiply the number of notes by their denomination before adding — the ratio is of counts, not values.
Updated On: Aug 14, 2025
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The Correct Option is B

Solution and Explanation

Let the numbers of 2 rupee, 5 rupee, and 10 rupee notes be \( 3x \), \( 5x \), and \( 8x \) respectively.
The total value of 2 rupee notes = \( 3x \times 2 = 6x \) rupees.
The total value of 5 rupee notes = \( 5x \times 5 = 25x \) rupees.
The total value of 10 rupee notes = \( 8x \times 10 = 80x \) rupees.
Adding these values gives: \[ 6x + 25x + 80x = 111x \] We are told that this total value is Rs. 4,662, so: \[ 111x = 4662 \] \[ x = \frac{4662}{111} = 42 \] The number of five rupee notes is \( 5x = 5 \times 42 = 210 \).
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