Nine persons went to a hotel for taking their meals. Eight of them spent Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spent by them?
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Given that eight members spent Rs. 12 each.
Let the average expenditure of all the nine be
x
ˉ
Given that ninth member spent Rs. 8 more than the
x
ˉ
Therefore, the amount spent by the ninth member is
x
ˉ
+8
Hence,
x
ˉ
=
9
(12×8)+
x
ˉ
+8
⟹9
x
ˉ
=96+
x
ˉ
+8
⟹8
x
ˉ
=104
⟹
x
ˉ
=13
Total money spent by them is (12×8)+13+8=117
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