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      Question

      The ratio of sugar to flour packets in a store is 6:7. If

      18 more packets of each are stocked, the ratio becomes 4:5. Find the original number of flour packets.
      A 63 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of sugar and flour packets be 6x and 7x.

      ATQ:

      (6x + 18)/(7x + 18) = 4/5

      β‡’ 5(6x + 18) = 4(7x + 18)

      β‡’ 30x + 90 = 28x + 72

      β‡’ 2x = 18

      β‡’ x = 9

      Original flour packets = 7 Γ— 9 = 63

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