Read the question and three statements carefully and decide which of the statement(s) is/are necessary to answer the question.
Question: How many articles were sold?
(A) The total profit earned was ₹1350.
(B) The cost price per article was ₹50.
(C) The selling price per article was ₹65.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A), (B) and (C)
The number of articles = total profit ÷ profit on one article, and the profit on one article = selling price − cost price. So the total profit, the cost price and the selling price of an article are all needed.
Profit on one article (from (B) and (C)) = 65 − 50 = ₹15
Number of articles (with (A)) \(\displaystyle=\frac{1350}{15}=90\)
Leaving out any one statement leaves either the profit on one article or the total profit unknown, so all three statements are necessary.