Multiple choice

In a bag, there are coins of 25p, 10p and 5p in the ratio of 1 : 2 : 3. If there are Rs. 30 in all, then how many 5p coins are there?

  1. 50

  2. 100

  3. 150

  4. 200
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be x, 2x, 3x. Values are 25x, 20x, 15x (in paise). Total = 60x = 3000 paise. x = 50. Number of 5p coins = 3x = 150.

AI explanation

The values of the coins must be accounted for by converting the rupees to paise, making the total amount 3000 paise. Multiply each ratio part by its coin value to get the value ratio: 25 times 1, 10 times 2, and 5 times 3, giving a value ratio of 25 : 20 : 15, or 5 : 4 : 3. The total of 12 parts represents 3000 paise, meaning one part equals 250 paise. The value of the 5p coins is 3 parts, which is 750 paise, and dividing by 5 paise per coin gives 150 coins.

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