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      Question

      Mixture β€˜A’ consists of petrol and acid in a 4:1

      ratio, while Mixture β€˜B’ contains petrol and acid in a ratio of 5:3. If these two mixtures are combined in a ratio 4:3 to form Mixture β€˜C’, what is the percentage of petrol in Mixture β€˜C’?
      A 55% Correct Answer Incorrect Answer
      B 75% Correct Answer Incorrect Answer
      C 32.5% Correct Answer Incorrect Answer
      D 72.5% Correct Answer Incorrect Answer

      Solution

      Proportion of petrol present in mixture β€˜A’ = (4/5)And proportion of petrol present in mixture β€˜B’ = (5/8)Let the quantity in which mixture β€˜A’ and mixture β€˜B’ are mixed be β€˜4x’ litres and β€˜3x’ litres, respectively.So, percentage of petrol present in mixture β€˜C’ = [{(4/5) Γ— 4x + (5/8) Γ— 3x} Γ· (4x + 3x)] Γ— 100= [{(16x/5) + (15x/8)} Γ· 7x] Γ— 100= {(128x + 75x)/(40 Γ— 7x)} Γ— 100= {(203x/40 Γ— 7)} Γ— 100 = 72.5%

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