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19 persons went to a hotel for a combined dinner party. 13 of them spent 79 each on their dinner and the rest spent 4 more than the average expenditure of all the 19. What was the total money (in Rs.) spent by them?

19 persons went to a hotel for a combined dinner party. 13 of them spent 79 each on their dinner and the rest spent 4 more than the average expenditure of all the 19. What was the total money (in Rs.) spent by them? Correct Answer None of these

Formula:

Average = sum of all observations/total number of all observations

Calculation:

Let the average expenditure of 19 people be x, then

According to the question

19x = 13 × 79 + 6 × (x + 4)

⇒ 19x = 13 × 79 + 6x + 24

⇒ x = 80.84

∴ Total money spent = 80.84 × 19 = Rs. 1536.07

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