PPSC Excise and Taxation Inspector 2018 Question Paper

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47.

A merchant has 1000 kg of Sugar, part of which he seels at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is :

A: 500 Kg
B: 600 Kg
C: 400 Kg
D: 640 Kg

The answer is: B

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Explanation

Answer: B - 600 Kg

Ratio of quantities sold at 8% : 18% = 4 : 6

 

Finding actual quantities:

Total = 1000 kg

  • Quantity at 8% profit = (4/10) × 1000 = 400 kg
  • Quantity at 18% profit = (6/10) × 1000 = 600 kg

 

Alligation rule -

  • When two groups are mixed to get an average
  • Ratio = (Higher value − Average) : (Average − Lower value)
  • Here = (18−14) : (14−8) = 4 : 6