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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.

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. Correct Answer 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.           

Related Questions

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