Question : If four-fifths of five-sixths of one-eighth of a certain number is 4365, what is 65% of the number?
Option 1: 36,375
Option 2: 53,280
Option 3: 34,047
Option 4: 52,380
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Correct Answer: 34,047
Solution : Let the number be $n$. According to the question, $\frac{4}{5} \times \frac{5}{6} \times \frac{1}{8} \times n = 4365$ $⇒\frac{1}{12} \times n = 4365$ $⇒n = 4365 \times 12 = 52380$ Now, 65% of $n = \frac{65}{100} \times 52380 = 34047$ Hence, the correct answer is 34,047.
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