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
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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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