Multiple choice

A bag contains Rs. 600 in the from of 1 rupee, 50 paise and 25 paise coins in the ratio 3 : 4: 12. The number of 25 paise coins is

  1. 600

  2. 800

  3. 1200

  4. 900
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let coins be 3x, 4x, 12x. Value = 3x(1) + 4x(0.5) + 12x(0.25) = 3x + 2x + 3x = 8x. 8x = 600 => x = 75. Number of 25 paise coins = 12 * 75 = 900.

AI explanation

Convert the ratio of coins to a ratio of their values in rupees by multiplying each part by its coin value (1, 0.50 and 0.25). The value ratio becomes (3 times 1) : (4 times 0.5) : (12 times 0.25), which simplifies to 3 : 2 : 3. The total of 8 parts represents Rs. 600, making one part equal to Rs. 75. The value of the 25 paise coins is 3 parts, which is Rs. 225, and dividing this by Rs. 0.25 per coin gives 900 coins.

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