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A person has 45 coins of 50p, 1 rupee and 2 rupee coins in ratio 6 : 2 : 1. Which of the following combinations will yield the same amount…

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A person has 45 coins of 50p, 1 rupee and 2 rupee coins in ratio 6 : 2 : 1. Which of the following combinations will yield the same amount of total money (the order of is 25p, 50p and 1 rupee and the total number of coins).
  • A6, 2, 1, 45
  • B6, 2, 1, 90
  • C6, 5, 3, 70
  • DNone of these
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Actual money with the person = 0.5((6/9) × 45) + 1((2/9) × 45) + 2((1/9) × 45) = 15 + 10 + 10 = Rs. 35

Total money in First case:

Total value of coins = 0.25((6/9) × 45) + 0.50((2/9) × 45) + 1((2/9) × 45) = 7.5 + 5 + 10 = Rs. 22.50

Total money in Second case:

Total value of coins = 0.25((6/9) × 90) + 0.50((2/9) × 90) + 1((2/9) × 90) = Rs. 45

Total money in Third case:

Total value of coins = 0.25((6/14) × 70) + 0.50((5/14) × 70) + 1((3/14) × 70) = Rs. 35

In third case, the amount is same