Each questions is followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: A TV was listed at a price that would have given the store a profit of 20% of the purchase cost. What is the purchase cost of the TV? (1) After reducing the listed price of the TV by 10%, the TV sold for a net profit of Tk. 10,000. (2) The TV was sold for Tk. 50,000.
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 questions, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
Explanation: ধরি, purchase cost=\(x\). So, listed price = \(x + x\) এর \(20\% = 1.2x\). For statement 1 alone, new listed price = \(1.2x-10\%\) of \(1.2x=1.08x\). So, net profit = \(1.08x-x=0.08x\). According to question, \(0.08x=10,000\). So, \(x=125,000\). For statement 2 alone, \(1.2x=50,000\). So, \(x=41,666.67\). Correct Answer (D)
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