📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The question consists of two statements numbered “I

      and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. There are two articles A and B. The cost price of article A is Rs. 2000 more than that of B. The discount percentage given on article A is twice the profit percent of article B. Find the profit percentage of article B. Statement I: The article A is marked up by 25% above the cost price and the profit earned on article B is Rs. 1000. The discount given on article A is Rs. 3000. Statement II: The cost price of article A is Rs. 8000 and the selling price of article B is Rs. 7000.
      A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      B The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
      D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
      E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      Let the cost price of article B be Rs. x Therefore, cost price of article A = Rs. (x + 2000) Let the discount percentage offered on article ‘A’ be 2y% Therefore, Profit percent of article ‘B’ = y% Statement I: Marked price of article ‘A’ = 1.25(x + 2000) According to question, 2y% of 1.25(x + 2000) = 3000 Or, 2.5y(x + 2000)/100 = 3000 Or, 2.5xy/100 + 50y = 3000 Given, xy/100 = 1000 Therefore, 2500 + 50y = 3000 Or, 50y = 500 Or, y = 10% Therefore, profit percent of article ‘B’ = 10% So, data in statement I alone is sufficient to answer the question. Statement II: Cost price of article B = 8000 – 2000 = Rs. 6000 Therefore, profit percent = {(7000 – 6000)/6000} × 100 = 16.67% So, data in statement II alone is sufficient to answer the question. Therefore, data either in statement I alone or in statement II alone are sufficient to answer the question. Hence, option c.

      Practice Next
      More Data Sufficiency Questions
      ask-question