Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Average

Question:

6 person went to a hotel for taking their meal. 5 of them spent ₹10 each on their meals and the 6th person spent ₹10 more then the average expenditure of all of them. What was the total money spent by all of them?

Options:

₹65

₹82

₹76

₹72

Correct Answer:

₹72

Explanation:

Divide the extra money paid by last person among first five:

i.e. \(\frac{10}{5}\) = 2 Rs. (to each)

Average expenditure = 10 + 2 = Rs. 12

Total money spent = 12 × 6 = Rs. 72

 

Alternate:

Let the average expenditure = A

Total expenditure of 5 person = 10 × 5 = 50

Expenditure of 6th person = A + 10

Total expenditure of all person = 6 × A = 6A

ATQ,

50 + (A + 10) = 6A

A + 60 = 6A

5A = 60

A = 12

Total expenditure = 12 × 6 = Rs. 72