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There are five numbers. The second number is 25% more than the first or third number, the fourth number is 5/4 of the third number and the fifth number is 3/2 of the third number. What is the average of the five numbers if the first number is 40?

There are five numbers. The second number is 25% more than the first or third number, the fourth number is 5/4 of the third number and the fifth number is 3/2 of the third number. What is the average of the five numbers if the first number is 40? Correct Answer 48

Given:

The first number = 40 

The second or third number = 25% more than the first number or third number

The fourth number = 5/4 th of the third number 

The fifth number = 3/2 th  third number 

Calculations:

Let the third number be x

Second number is either 25% more than third or first number = 125% of x or 40 × 125%

⇒ (5/4) × x or 50

Then accordingly,

5x/4 = 50

⇒ x = 40

The fourth number = (5/4)x = (5/4) × 40 = 50

The fifith number = (3/2)x = (3/2) × 40 = 60

Average = /5

⇒ 240/5

⇒ 48

∴ The average of the five numbers is 48.

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