Question

Eight women went to a hotel. Seven of them spent Rs.4 each on food and eighth woman spent Rs.7 more than the average of all eight women. Determine the total amount spent by them.
1. Rs. 45
2. Rs. 40
3. Rs. 35
4. Rs. 50

Answer 1

Correct Answer - Option 2 : Rs. 40

Given:

seven women each spent on food = Rs.4 

Eight women spent Rs.7 more than average of all eight women

Concept Used:

Average = Sum of all observation/Number of observation

Calculation:

Let the amount spent by the eighth women be x 

Total amount spent by 7 people = 4 × 7 = 28 

Total amount spent by 8 people = 28 + x 

Average amount spent by 8 people = (28 + x)/8

According to question

⇒ x - (28 + x)/8 = 7

⇒ (8x - 28 + x) = 56

⇒ (7x - 28) = 56

⇒ 7x = 56 + 28

⇒ x = 84/7

⇒ x = 12

Total amount = 28 + 12 = Rs. 40

∴ Total amount spent by 8 women is Rs.40