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 ?
A. 68
B. 79
C. 73.75
D. 75.25
Answer: Option C
Solution(By Examveda 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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