Question 89

The average of 50 numbers is X. If two numbers 53 and 47 are discarded, the average of the remaining set of numbers now is 37.5. What is the value of 50X?

Solution

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Sum of 50 numbers = $$50x$$

After removing 53 and 47, average of 48 numbers = $$\frac{50x-53-47}{48}=37.5$$

=> $$50x-100=\frac{75}{2}\times48$$

=> $$50x=1800+100=1900$$

=> Ans - (B)

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