Multiple choice

A bag contains Rs. 870 in the form of Re. 1, 50 p and 25 p coins in the ratio 3 : 5 : 7. Find the number of each type of coins, respectively.

  1. 240, 720 and 800

  2. 360, 540 and 800

  3. 360, 600 and 840

  4. 360, 600 and 800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of coins be 3x, 5x, and 7x. Values are 3x(1) + 5x(0.5) + 7x(0.25) = 3x + 2.5x + 1.75x = 7.25x. 7.25x = 870 implies x = 120. Number of coins: 3*120=360, 5*120=600, 7*120=840.

AI explanation

Let the number of Re. 1, 50 paise and 25 paise coins be 3x, 5x and 7x respectively. The total value in rupees is (1*3x) + (0.50*5x) + (0.25*7x) = 3x + 2.5x + 1.75x = 7.25x. Equating this to the given total of 870 rupees, we get 7.25x = 870, which means x = 120. Substituting the value of x, the respective numbers of coins are 3*120 = 360, 5*120 = 600 and 7*120 = 840.

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