Step 1: Concept
Elemental Abundances in the Earth's Bulk Composition.
Step 2: Meaning
The mass percentage of elements in the Earth's bulk composition refers to their relative abundance by weight.
Step 3: Analysis
The approximate mass percentages in the bulk Earth are: Iron $\approx$32%, Oxygen $\approx$30%, Silicon $\approx$15%, Magnesium $\approx$14%, Nickel $\approx$2%. In increasing order: Nickel (E) $<$ Silicon (B) $<$ Oxygen (C) $<$ Magnesium (D) $<$ Iron (A).
Step 4: Conclusion
The correct increasing order by mass percentage is: E, B, C, D, A.
Final Answer: (C)