From the profits of a certain investment, Faisaf got \(1/3\) of the total profit and three of his friends each got \(1/3\) of the rest. What was the total profit? 1) Faisal and one of his friends got \(5/9\) of the total profit. 2) Two of Faisal's friends got a total of 48000 taka.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
DUIBAমানসিক দক্ষতা(IQ)বিশ্লেষণমুলক ও সিদ্ধান্ত গ্রহণের ক্ষমতাIQ-3 (Topic Practice)DU - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
Explanation: Let \(x\) be the total profit. Faisal's share: \(1/3 x\). Remaining profit: \(x - 1/3 x = 2/3 x\). Each of the 3 friends' share: \(1/3\) of the rest: \(1/3 \times (2/3 x) = 2/9 x\). Statement 1: Faisal and one friend's share is \(5/9\) of total. \((1/3 x) + (2/9 x) = (3/9 x) + (2/9 x) = 5/9 x\). This confirms the shares but doesn't give the value of \(x\). Not sufficient. Statement 2: Two friends' total share is \(48000\). Two friends' share = \(2 \times (2/9 x) = 4/9 x\). So, \(4/9 x = 48000\). This allows solving for \(x\): \(x = 48000 \times 9 / 4 = 12000 \times 9 = 108000\). Sufficient. Statement (2) ALONE is sufficient.
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