Out of nine persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was :
A. Rs. 260
B. Rs. 290
C. Rs. 292.50
D. Rs. 400.50
Answer: Option C
Solution(By Examveda Team)
Let the average of 9 people expenditure = Rs. xAccording to the question,
⇒ $$\frac{30 × 8 + x + 20}{9}$$ = x
⇒ 240 + 20 + x = 9x
⇒ 260 = 8x
⇒ x = $$\frac{260}{8}$$
⇒ x = 32.5
Total expenditure are
= 32.5 × 9
= Rs. 292.50
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