On a particular day each of Danish, Ethan and Farhan sold three types of pens from their respective shops. Danish and Ethan sold an identical number of pens of Type A while Farhan sold 1/2 times as many pens of Type A as Danish and Ethan together sold. The ratio of the numbers of pens of Type B sold by Danish, Ethan and Farhan was 4 : 3 : 1 respectively, and Danish and Farhan sold an identical number of pens of Type C each, while Ethan sold 5/2 as many pens of Type C as each of Ethan and Farhan sold. The three sellers sold each of the types of pens at different prices per unit. Assertion (

• A : It is possible that Danish sold each pen of Type A at a loss of ₹1, each pen of Type B at a profit of ₹5, and each pen of Type C at a loss of ₹3 and made an overall profit of ₹114; Ethan sold each pen of Type A at a profit of ₹4, each pen of Type B at a loss of ₹3, and each pen of Type C at a profit of ₹5 and made an overall profit of ₹267; and Farhan sold each pen of Type A at a profit of ₹8, each pen of Type B at a profit of ₹5, and each pen of Type C at a loss of ₹7 and made an overall profit of ₹ 60. Reason (
• R : Framing and solving the three possible linear equations we will find that we get a unique solution.