A rice bag and a wheat bag are the two items. The total

Solution

ATQ, Let the cost price of the rice bag be Rs.'a' Therefore, cost price of the wheat bag = Rs. (4400 – a) Selling price of the rice bag = Rs. 1.25a Statement I: Let the discount given on the rice bag be Rs. 'b' Discount given on the wheat bag = Rs. (b – 160) So, data in statement I alone is not sufficient to answer the question. Statement II: According to the question, Discount given on the wheat bag is 10% of its cost price So, data in statement II alone is not sufficient to answer the question. Statement III: Marked price of the rice bag = Rs. 1.4a Marked price of the wheat bag = Rs. 1.25(4400 – a) So, data in statement III alone is not sufficient to answer the question. Combining statement I and II: (b – 160) = 0.1(4400 – a) Therefore, statement I and statement II together is not sufficient to answer the question. Combining statement II and III: We cannot determine the selling price of the wheat bag. Therefore, statement II and statement III together is not sufficient to answer the question. Combining statement I and III: Selling price of the wheat bag = 1.25(4400 – a) – (b – 160) Therefore, statement I and statement III together is not sufficient to answer the question, Combining statement I,II and III: (b – 160) = 10% of (4400 – a) Or, b = Rs. (440 + 160 – 0.1a) Or, b = (600 – 0.1a) ….. (1) Also, 1.4p – b = 1.2a Or, b = 0.2a …….. (2) From equation (1) and (2), we get a = 600/0.3 = 2000 Therefore, marked price of the wheat bag = 1.25(4400 – a) = Rs.3000 Discount given on the wheat bag = 0.1 × (4400 – 2000) = Rs.240 Selling price of the wheat bag = 3000 – 240 = Rs.2760 Therefore, data in all the three statements together is necessary to answer the question.