Multiple choice

A bag contains Rs. 90 in coins. If coins of 50 paise, 25 paise and 10 paise are in the ratio 2 : 3 : 5. How many 50 paise coins are there in the bag ?

  1. 60

  2. 70

  3. 75

  4. 80

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the number of coins be 2x, 3x, and 5x for 50p, 25p, and 10p respectively. Total value: 0.50(2x) + 0.25(3x) + 0.10(5x) = 90. This simplifies to: x + 0.75x + 0.5x = 90, so 2.25x = 90, giving x = 40. Number of 50p coins = 2x = 2 × 40 = 80. Option A (60) would result from incorrectly solving 2x + 3x + 5x = 90 without considering coin values.

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