Directions: Below question consists of a question and 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. Read the question and both the statements and give answer.

What is the salary of X?

I. He spends 13% on insurance premium, 5% on medicines and 14% on rest expenses.

II. Even after spending of 32% of his salary, he is able to save Rs.4080

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.

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.

C The data either in statement I alone or in statement II alone are sufficient to answer the question.

D The data even in both the statements I and II together II alone not sufficient to answer the question.

E The data in both the statements I and II together are necessary to answer the question.

Solution

Correct Answer: Option B

From statement I,

Given: He spends 13% on insurance premium, 5% on medicines and 14% on rest expenses.

Here expenditures are given but with these data we cannot reach at the salary of X.

∴ The data in Statement I alone are not sufficient to answer the question

From statement II,

Given: Even after spending of 32% of his salary, he is able to save Rs.4080

Let his salary be Rs. A.

Then, after spending 32% of his salary, remaining salary = (100 – 32)% = 68%

∴ 68% of a = 4080

\(\Rightarrow \frac{{68}}{{100}} \times a = 4080\)

\(\Rightarrow a = 4080 \times \frac{{100}}{{68}}\)

⇒ a = Rs 6000

∴ The data in Statement II alone are sufficient to answer the question

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