Multiple choice

There is $34000$ rupees in a beg in the denomination of $Rs 50,Rs 100,Rs 500$ and $Rs 1000$ currencynotes. If the ratio of the number of these notes is $2:3:4:1$ then find the number of notes of $500$ denomination.

  1. $20$
  2. $40$
  3. $30$
  4. $50$
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B Correct answer
Explanation

Let the number of notes be 2x, 3x, 4x, and 1x. Value = 50(2x) + 100(3x) + 500(4x) + 1000(x) = 100x + 300x + 2000x + 1000x = 3400x. Given 3400x = 34000, x = 10. Number of 500 notes is 4x = 40.

AI explanation

Let the number of Rs. 50, Rs. 100, Rs. 500, and Rs. 1000 notes be 2x, 3x, 4x, and x. We can formulate the total value equation as 50(2x) + 100(3x) + 500(4x) + 1000(x) = 34000. Simplifying this gives 100x + 300x + 2000x + 1000x = 34000, which means 3400x = 34000, so x = 10. The number of Rs. 500 notes is represented by 4x, which calculates to 4 * 10 = 40 notes.

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