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Question:

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?

Explanation:

Number of educated people in 2002 = 545

Therefore, number of educated males in 2002 = (5/9) × 545 ≈ 303

and, number of educated females  in 2002 = 545 – 303 = 242

Now, number of females in 2002 = Total population – Total male population = 350

Hence, number of uneducated females in 2002 = 350 – 242 = 108

The number of educated males increases by 25% in 2003. 

Hence, number of educated males in 2003 = 1.25 × 303 ≈ 379

Therefore, number of educated females in 2003 = 560 – 379 ≈ 181

Now, number of females in 2003 = Total population ‒ Total male population = 350

Hence, number of uneducated females in 2003 = 350 – 181 ≈ 169

Hence, percentage change in uneducated females = (169 – 108)/108 × 100 ≈56%

Hence, option (d).