| Out of 9 persons, 8 persons spent Rs. 30 each of their meal. 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
Correct Answer: C
Solution :
| Let the money spent by the ninth persons = Rs. x |
| Then, total average \[=\frac{8\times 30+x}{9}=\frac{240+x}{9}\] |
| According to the question, |
| \[x=\frac{240+x}{9}+20\] |
| \[\Rightarrow \]\[9x=240+x+180\] |
| \[\Rightarrow \]\[8x=420\] |
| \[\Rightarrow \]\[x=\text{Rs}.\,\,52.50\] |
| \[\therefore \]Total money spent by all \[=240+52.50\] |
| = Rs. 292.50 |
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