Question : Nine students in a class contribute a certain sum of money. Seven of them gave Rs. 50 each, and the other two gave, respectively, Rs. 50 and Rs. 90 more than the average contribution. The average contribution of the class of nine students is:
Option 1: Rs. 70
Option 2: Rs. 50
Option 3: Rs. 100
Option 4: Rs. 120
Correct Answer: Rs. 70
Solution :
Let the average contribution of the class of nine students be $x$.
$x=\frac{7×50+x+50+x+90}{9}$
⇒ $9x=2x+490$
⇒ $7x=490$
$\therefore x=70$
Hence, the correct answer is 70.
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