Multiple choice

A bag contains Rs 11,400 in the formofcurrency notes of Rs 100, Rs 50 and Rs 10 in the ratio 3 : 4 : 10. How many notes are there of Rs 50?

  1. 76

  2. 72

  3. 56

  4. 48
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the number of notes be 3x, 4x, and 10x. The total value is 100(3x) + 50(4x) + 10(10x) = 300x + 200x + 100x = 600x. Setting 600x = 11400 gives x = 19. The number of Rs 50 notes is 4x = 4 * 19 = 76.

AI explanation

To find the ratio of the values of the notes, multiply the number of notes by their denominations. The value ratio is (3 times 100) : (4 times 50) : (10 times 10), which simplifies to 300 : 200 : 100 or 3 : 2 : 1. The sum of 6 parts equals Rs. 11,400, meaning 1 part is Rs. 1,900. The value of the Rs. 50 notes is 2 parts, equaling Rs. 3,800, and dividing this by Rs. 50 per note gives 76 notes.

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