Question : When a number is successively decreased by 25 percent, 40 percent and 20 percent, then it becomes 32,904. What is that number?
Option 1: 95,600
Option 2: 92,800
Option 3: 91,400
Option 4: 80,500
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Correct Answer: 91,400
Solution :
Let the number be $x$.
According to the question,
$\frac{(100 - 25)}{100} × \frac{(100 - 40)}{100} × \frac{(100 - 20)}{100} × x = 32904$
⇒ $\frac{75}{100} × \frac{60}{100} × \frac{80}{100} × x = 32904$
⇒ $\frac{3}{4} × \frac{3}{5} × \frac{4}{5} × x = 32904$
⇒ $\frac{9}{25} × x = 32904$
⇒ $x = 32904 × \frac{25}{9}$
⇒ $x = 3656 × 25$
⇒ $x = 91400$
Hence, the correct answer is 91,400.
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