Question

On a particular day each of Danny, Edwin and Fahim sold three types of pens from their respective shops. Danny and Edwin sold an identical number of pens of Type A while Fahim sold twice as many pens of Type A as each of Danny and Edwin sold. The ratio of the numbers of pens of Type B sold by Danny, Edwin and Fahim was 3:5:2 respectively, while each of the trio sold an identical number of pens of Type C. The three sellers sold each of the types of pens at different prices per unit. Assertion (

  • A : It is possible that Danny sold each pen of Type A at a profit of Rs 2, each pen of Type B at a loss of Re 1, and each pen of Type C at a loss of Rs 12 and made an overall profit of Rs 125; Edwin sold each pen of Type A at a profit of Rs 2, each pen of Type B at a loss of Rs 6, and each pen of Type C at a profit of Rs 6 and made an overall profit of Rs 110; and Fahim sold each pen of Type A at a profit of Re 1, each pen of Type B at a profit of Re 1, and each pen of Type C at a loss of Rs 3 and made an overall profit of Rs 210. Reason (
  • R : Framing and solving the three possible linear equations we will find that we get a unique solution.
A Assertion (A) is true and Reason (R) is false.
B Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
C Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
D Assertion (A) is false and Reason (R) is true.
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