If four-fifths of five-sixths of one-eighth of a certain number is 4365, what is 65% of the number?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 34,047.
Let the number be x
(4/5) × (5/6) × (1/8) × x = 4365
Simplify the fraction:
(4×5)/(5×6×8) = 20/240 = 1/12
So, (1/12) × x = 4365
⇒ x = 4365 × 12 = 52380
Now, find 65% of x:
65% of 52380 = (65/100) × 52380 = 34047