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      Question

      In a game of 100 points, if P gets 100 points, Q gets

      10 less than P and R gets 30 less than P. Then, how many points can R get if Q gets 180 points?
      A 80 Correct Answer Incorrect Answer
      B 160 Correct Answer Incorrect Answer
      C 140 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer

      Solution

      P:Q = 100:90, P:R = 100:70 Q/R = (Q/P× P/R)  = 90/100×100/70  =  90/70 = 9:7 ∴ In a game if Q gets 180 points Q/R=  9/7 = (9 × 20)/(7 × 20)=180/140  R gets 140 points 

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