Question

A team of 6 persons joins in a shooting competition and the best shooter scored 84 points. If he had scored 93 points, then the average score of the team would have been 84. What is the total number of points that the team scored?
1. 495
2. 504
3. 506
4. 494

Answer 1

Correct Answer - Option 1 : 495

Given:

Total team members = 6

The score of the best shooter = 84

If the score of the best shooter is 93, then the average of team = 84

Formula used:

Average = Sum of all observations/Total number of observations

Calculation:

Let the sum of score of 5 members be x.

If score of best shooter is 93, then average of team = 84

⇒ (x + 93)/6 = 84

⇒ x + 93 = 504

⇒ x = 411

According to the question,

Sum of all 6 members

⇒ (x + 84)

⇒ (411 + 84)

⇒ 495

∴ The the total number of points that the team scored is 495.