Question

In a group of 5 items, the price of the costliest item is 20% more than the average price of all 5 of them. The price of the cheapest item is 20% less than the average price of all 5 of them. What is the ratio of the average of all 5 of them to the average of the middle three of them?

• A. 2:1
• B. 5:3
• C. 1:1
• D. Cannot be determined

Answer 1

The correct option is C 1:1

Let the average price of all 5 of them be 100A.

So, price of the costliest one = 120A

And the price of the cheapest one = 80A

Now, total price of all 5 = 500A

Total price of the costliest and the cheapest one = 200A

So, total price of the middle three = 300A

So, the average price of the middle three = 100A

So, the required ratio = 100A:100A= 1:1

Hence, option C is the correct answer.