Passage

Each of the following questions below consists of a question and two statements numbered I and II given. You have to decide whether the data provided in the statements is sufficient to answer the question.

‘Vivek’ mark up an article 50% above its cost price. Find the cost price of article. I . ‘Vivek’ gave Rs 60 discount on mark price and earn 20% profit. II . If ‘Vivek’ gave two successive discounts of 10% each then he will earn Rs 43 as profit.

Statement I: MP = 1.5 × CP, discount = Rs. 60, selling price = MP - 60, profit = 20%. So SP = 1.2 × CP, and 1.5CP - 60 = 1.2CP, 0.3CP = 60, CP = 200. Statement I alone is sufficient. Statement II: Two successive discounts of 10% each means effective discount = 19% (since 0.9×0.9 = 0.81, so 19% off). SP = 0.81 × MP. Profit = Rs. 43. So 0.81(1.5CP) - CP = 43, 1.215CP - CP = 43, 0.215CP = 43, CP = 200. Statement II alone is also sufficient. Since either statement alone gives the answer, option D is correct.