$30\%$ of the employees of a call center are males. Ten percent of the female employees have an engineering background. What is the percentage of male employees with engineering background?

Statement A: $25\%$ of employees have engineering background.

Statement B: The number of male employees having an engineering background is $20\%$ more than the number of female employees having an engineering background.

The correct option is D: If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient.

Let the number of employees be $100.$

$30\%$ are males, then, the number of males $=30$

$10\%$ female have engineering (engg.) background, then the number of females having engineering background $=10$

Statement A: $25\%$ of employees have engineering background means the number of people having engineering background $=25$

So, the number of males having engineering background $=25-10=15$

Statement B: Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.

Percentage of male engineering background employees

$=\frac{\text{Number of male engg. employees}}{\text{Total engg. background employees}}=\frac{15}{25}\times 100\%=15\times 4=60\%$

Percertage of female background employees

$=\frac{\text{Number of female engg. employees}}{\text{Total engg. background employees}}=\frac{10}{25}\times 100\%=10\times 4=40\%$

so, male percentage in engg. background is $20\%$ more than the percentage of female engg. background employees.

Hence, option D is correct, i.e. If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient.