Question
Eleven friends spent Rs. 19 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 them?Solution
Average expenditure of 11 students = 19 × 11 = Rs. 209 Let money spent by the twelfth friend be Rs.x Total money spent by all the 12 friend = 209 + x Average money spent by 12 friend = (209 + x) / 12 Given, x = [(209 + x)/12] - 11 ⇒ 12x = 209 + x - 132 ⇒ 11x = 77 ∴ x = 7 Total expense = 209 + 7 = Rs. 216
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