Question 59

9 men went to a hotel 8 of them spent Rs. 30 each over their meals and the 9th person spent Rs. 20 more than the average expenditure of all the nine. The total money spent by them is--

Solution

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Let the ninth person's expenses be x rupees.

Total expense by the group = x + 240

Average = (x+ 240)/9

But the average is 20 less than x

(x+240)/9 + 20 = x

x + 240 + 180 = 9x

8x = 420

x = 52.5

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