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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