Nine persons went to a hotel for taking their meals. Eight of them spent Rs. 12 each over their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. Total money spent by them was
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Rs. 104
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Rs. 105
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Rs. 116
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Rs. 117
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None of these
D
Correct answer
Explanation
Let average expenditure of all 9 persons = x. Total expenditure = 9x. Eight persons spent Rs. 12 each = Rs. 96. Ninth person spent x + 8. So 9x = 96 + x + 8 = 104 + x. Therefore 8x = 104, x = 13. Total = 9 × 13 = 117. The ninth person spent 13 + 8 = Rs. 21.