### 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

## Show Answer

###
Answer-C

Solution-

Solution(By Apex Team)

$$\begin{array}{l}\text{ Average of set }\mathrm{A}\\
=\Large\frac{27+28+30+33}{4}\\
=\Large\frac{118}{4}\\
=29.5\\
\text{ After increase }\\
=\Large\frac{29.5\times130}{100}\\
=38.35\\
\text{Now,}\\
\Large\frac{\text { Sum of first four numbers }+\mathrm{k}}{5}=\small\text { New average }\\
\Rightarrow 118+\mathrm{k}=38.35 \times 5\\
\Rightarrow 118+\mathrm{k}=191.75\\
\Rightarrow \mathrm{k}=191.75-118\\
\Rightarrow \mathrm{k}=73.75
\end{array}$$