Question

On a particular day each of Danny. Edwin and Fahim sold three types of pens from their respective shops. As a coincidence, each of them sold an identical number of Type A, an identical number of pen of Type B and and identical number of pens of Type C. However, the number of pen of each type that were sold were all different from one another. Also, the three seller sold each of the types of pen 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 I, and each pen of Type C at a loss of Rs 12 and made an overall profit of Rs.8; 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 loss of Rs 6 and made an overall profit of Rs 14; and Fahim sold each pen of Type A at a profit of Rs.1, each pen of Type B at a profit of Rs.1, and each pen of Type C at a loss of Rs.3 and made an overall profit of Rs.27

Reason(R) Framing and solving the three possible linear equations we find that we get a unique solution.