Multiple choice

A bag contains 5-rupee, 2-rupee, 1-rupee and 50-paise coins. These coins are in the ratio of 4: 3: 2: 1. If the total coins amount to Rs. 285, find out the number of each type of coins.

  1. 20 of 50 paise, 20 Re. 1, 20 of Rs. 2 and 43 of Rs. 5

  2. 40 of Rs. 5, 30 of Rs. 2, 20 of Re. 1 and 10 of 50 paise

  3. Both A and B

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number of coins be 4x, 3x, 2x, and x. The total value is 5(4x) + 2(3x) + 1(2x) + 0.5(x) = 20x + 6x + 2x + 0.5x = 28.5x. Setting 28.5x = 285 gives x = 10. Thus, there are 40, 30, 20, and 10 coins respectively.

AI explanation

Let the common multiplier be x, meaning the coins are 4x, 3x, 2x, and 1x. The total value equation is 5(4x) + 2(3x) + 1(2x) + 0.50(1x) = 285, which simplifies to 20x + 6x + 2x + 0.5x = 285, or 28.5x = 285. Solving for x gives x = 10, meaning there are 40 Rs. 5 coins, 30 Rs. 2 coins, 20 Re. 1 coins, and 10 of the 50 paise coins. The result is 40 of Rs. 5, 30 of Rs. 2, 20 of Re. 1 and 10 of 50 paise.

Keep practicing — related questions