The following question is accompanied by three statements (I), (II), a

1.	The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.A person can purchase 3 articles in Rs. 50. What is the price of the costliest article?Statement I. The cost price of the two articles each is Rs. 2 less than the cost price of the costliest article.Statement II. The cost price of two articles out of 3 is the same.Statement III. The cost price of the costliest article is 12.5% more than the cost price of the cheapest article.1. Either statement I and II together or Statement II and III together is sufficient to answer the question.2. The data in statement I alone or statements II and III together is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5.The data in all statements I, II, and III together are necessary to answer the question.
Answer» Correct Answer - Option 2 : The data in statement I alone or statements II and III together is sufficient to answer the question. Calculation: For Statement I: Let the CP of each of two cheapest articles = x CP of the costliest article = x + 2 ∴ x + x + x + 2 = 50 ⇒ 3x = 48 ⇒ x = 16 For statement II and III: We can say that the CP of 2 articles is the same and the cost price of the costliest is 12.5% more than the CP of the cheapest. So, combining both we can find the answer. Statement I alone or Statement II and III together are sufficient.

The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.A person can purchase 3 articles in Rs. 50. What is the price of the costliest article?Statement I. The cost price of the two articles each is Rs. 2 less than the cost price of the costliest article.Statement II. The cost price of two articles out of 3 is the same.Statement III. The cost price of the costliest article is 12.5% more than the cost price of the cheapest article.1. Either statement I and II together or Statement II and III together is sufficient to answer the question.2. The data in statement I alone or statements II and III together is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5.The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 2 : The data in statement I alone or statements II and III together is sufficient to answer the question.

Calculation:

For Statement I:

Let the CP of each of two cheapest articles = x

CP of the costliest article = x + 2

∴ x + x + x + 2 = 50

⇒ 3x = 48

⇒ x = 16

For statement II and III:

We can say that the CP of 2 articles is the same and the cost price of the costliest is 12.5% more than the CP of the cheapest.

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