In 2002 if the ratio of number of educated male to professionally educated female was 5:4. If the number of educated males increased by 25% in 2003. What is the percentage change in number of uneducated females in 2003?

Number of female in the year 2002 = 790 - 440 = 350 million. 

Number of educated females in the year 2002 = $$\dfrac{4}{9}\times 545$$ $$\approx$$ 242 millions

Hence, total number of uneducated females in the year 2002 = 350 - 242 = 108 millions ... (1) 

Number of educated males in the year 2002 = $$\dfrac{5}{9}\times 545$$ $$\approx$$ 303 millions.

Therefore, the number of educated males in the year 2003 = 1.25*303 = 378.75 millions. 

Hence, the number of educated females in the year 2003 = Total educated population - the number of educated males = 560 - 378.75 $$\approx$$ 181.25 millions.

Total number of uneducated females in the year 2003 = Total number of females - the number of educated females = (800-450) - 181 =  169 millions. ... (2)

From equation (2) and (1), we can say that the percentage change in number of uneducated females in 2003 = $$\dfrac{169-108}{108}\times 100$$ $$\approx$$ 56 percent. Hence, we can say that option D is the correct answer.