An item has a cost price to selling price ratio of 4:5. How much profit is earned from selling the item (in Rs.)? Statement I: The marked price of the item is Rs. 300 more than its cost price. Statement II: The amount by which the selling price exceeds the marked price is Rs. 200. Statement III: The discount given on the item exceeds the profit from selling it by Rs. 100.

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