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      Question

      If 78% of (A - B) is equal to 26% of 90% of (A + B), then

      find the ratio of B to A.
      A 3:5 Correct Answer Incorrect Answer
      B 5:4 Correct Answer Incorrect Answer
      C 2:3 Correct Answer Incorrect Answer
      D 7/13 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Given

      78% of (A - B) = 26% of 90% of (A + B)

      Or, 39 × (A - B) = 117 × (A + B) [78% = 39/50, and 26% of 90% = 23.4% = 117/500]

      Multiply both sides by 500 to eliminate denominators:

      → 19500 × (A - B) = 117 × (A + B) × 50

      → 19500A - 19500B = 5850A + 5850B

      → 13650A = 25350B

      → A/B = 25350 / 13650 = 13 / 7

      So, B/A = 7/13

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