Question : Eleven friends spent Rs. 18 each on a tour and the twelfth friend spent Rs. 11 less than the average expenditure of all twelve of them. What is the total money spent by the twelve friends?
Option 1: Rs. 204
Option 2: Rs. 215
Option 3: Rs. 212
Option 4: Rs. 208
Correct Answer: Rs. 204
Solution :
Given: Eleven friends spent Rs. 18 each on a tour and the twelfth friend spent Rs. 11 less than the average expenditure of all twelve of them.
Let the average expenditure of all twelve of them = $x$
According to the question,
$12x = (11×18)+(x-11)$
⇒ $12x-x=198-11$
⇒ $11x=187$
⇒ $x=17$
So, the total money spent by twelve friends = (12 × 17) = Rs. 204
Hence, the correct answer is Rs. 204.
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