Question : In a team of 10 persons, nine spent Rs. 40 each for their meal, and the remaining one spent Rs. 9 more than the average expenditure of all the 10 persons. The total expenditure for their meal was:
Option 1: Rs. 510
Option 2: Rs. 310
Option 3: Rs. 410
Option 4: Rs. 610
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Correct Answer: Rs. 410
Solution :
Let the total expenditure for their meal be Rs. $x$.
According to the question:
$x = 9×40+(9+\frac{x}{10})$
⇒ $x = 360+9+\frac{x}{10}$
⇒ $x-\frac{x}{10} = 369$
⇒ $\frac{9x}{10} = 369$
$\therefore x = 410$
Hence, the correct answer is Rs. 410.
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