Question : Each member of a club contributes an amount in rupees and paise equal to the number of members in the club. If the total contribution is Rs. 2525, then what is the number of members in the club?
Option 1: 60
Option 2: 45
Option 3: 55
Option 4: 50
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Correct Answer: 50
Solution :
Let the number of members be $x$.
So each member contributes $x$ rupees and $x$ paise.
According to the given information,
$x × x + x × \frac{x}{100}= 2525$
⇒ $x^2 + \frac{x^2}{100} = 2525$
⇒ 101$x^2= 252500$
⇒ $x^2= 2500$
⇒ $x = 50$
Therefore, the number of members = 50
Hence, the correct answer is 50.
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