Instruction: Each problem consists of a question followed by two statements. Decide whether the data in the statements are sufficient to answer the question. What was the percent increase in salary of Asif from 2013 to 2014? (1) In 2013, Asif's salary was Tk. 20,000. (2) In 2013, Asif's salary was 20% greater than it was in 2012, and in 2014, Asifs salary was 30% greater than it was in 2012.
A. statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question
B. statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question
C. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. each statement alone is sufficient
E. statements (1) and (2) together are not sufficient, and additional data is needed to answer the question.
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Explanation: (B) The question asks for the percent increase from 2013 to 2014, which is \(\frac{\text{Salary}_{2014} - \text{Salary}_{2013}}{\text{Salary}_{2013}}\). Statement 1 gives \(\text{Salary}_{2013}\), but not \(\text{Salary}_{2014}\). Not sufficient. Statement 2: Let \(\text{Salary}_{2012} = S\). \(\text{Salary}_{2013} = 1.2S\). \(\text{Salary}_{2014} = 1.3S\). Percent Increase = \(\frac{1.3S - 1.2S}{1.2S} = \frac{0.1S}{1.2S} = \frac{1}{12}\), which is a definitive percentage (approx. 8.33%). The ratio/percentage can be calculated without the actual salary figures. Therefore, statement 2 alone is sufficient.
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