Answer:
The cost reduction would improve the ROE by 10.67%
Explanation:
Debt is 37.5% of Total capital or we can say equity is 62.5% of total capital.
Total capital = $195,000
Equity = $195000*62.5%
      = $121,875
Old ROE = (Net income/Total Equity)*100
        = ($20,000/$121875)*100
        = 16.41025641%
New ROE = ($33000/$121875)*100
         = 27.076923076%
Improvement in ROE = 27.076923076% - 16.41025641%
                  = 10.6666666666%
Therefore, The cost reduction would improve the ROE by 10.67%