An item has a cost price to

Solution

ATQ, Let the cost price and selling price of item be Rs. '4a' and Rs. '5a', respectively. Profit earned = 5a - 4a = Rs. 'a' Statement I: Marked price of item = Rs. (4a + 300) We cannot find the profit earned. So, data in statement I alone is not sufficient to answer the question. Statement II: Since, marked price is always greater than selling price. Marked price of item = Rs. (5a + 200) We cannot find the profit earned. So, data in statement II alone is not sufficient to answer the question. Statement III: Discount offered = Rs. (a + 100) We cannot find the profit earned. So, data in statement III alone is not sufficient to answer the question. Statement I and II together: Marked price of item = Rs. (4a + 300) So, 4a + 300 - 5a = 200 Or, 'a' = 100 Profit earned = Rs. 100 So, data in statement I and II together is sufficient to answer the question. Statement II and III together: Marked price of item = Rs. (5a + 200) Discount offered = Rs. (a + 100) We know, SP = MP - Discount So, 5a = 5a + 200 - a - 100 Or, 'a' = 100 Profit earned = Rs. 100 So, data in statement II and III together is sufficient to answer the question. Statement I and III together: Marked price of item = Rs. (4a + 300) Discount offered = Rs. (a + 100) We know, SP = MP - Discount So, 5a = 4a + 300 - a - 100 Or, 2a = 200 Or, 'a' = 100 Profit earned = Rs. 100 So, data in statement I and III together is sufficient to answer the question. Therefore, data given in any of the two statements combined together is sufficient to answer the question