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A set A consists of integers 27 28 30 and 33…

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A set A consists of integers 27, 28, 30 and 33. If integer k is included in the set, the average of set A will increase by 30%. What is the value of integer k ?

  1. A. 68
  2. B. 79
  3. C. 73.75
  4. D. 75.25

Answer: Option C

Here is complete explanation of A set A consists of integers 27 28 30 and 33….

Solution(By ExamCraze Team)

Average of set A
= $$frac{27 + 28 + 30 + 33}{4}$$
= $$frac{118}{4}$$
= 29.5
After increase
= $$frac{29.5 × 130}{100}$$
= 38.35
Now
$$frac{{{text{Sum of first four numbers + k}}}}{5}$$       $$ = {text{New average}}$$
⇒ 118 + k = 38.35 × 5
⇒ 118 + k = 191.75
⇒ k = 191.75 - 118
⇒ k = 73.75

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