The pie charts below show the percentage distribution of total students and total boys in five different schools (A, B, C, D, and E) in the year 2019. The total number of students across all schools is 5000, and the total number of boys is 2800.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758880874/aptidude_questions/srielwbth8zudqshvfkw.png)

In 2020, the number of girls in school B increased by 20% compared to 2019, while the number of boys in school B decreased by $14\frac{2}{7}\%$ over the previous year.

What is the percentage difference between the total students in school B in 2020 and the total students in school D in 2019? Is it more or less, and by how much?

Question

The pie charts below show the percentage distribution of total students and total boys in five different schools (A, B, C, D, and E) in the year 2019. The total number of students across all schools is 5000, and the total number of boys is 2800.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758880874/aptidude_questions/srielwbth8zudqshvfkw.png)

In 2020, the number of girls in school B increased by 20% compared to 2019, while the number of boys in school B decreased by $14\frac{2}{7}\%$ over the previous year.

What is the percentage difference between the total students in school B in 2020 and the total students in school D in 2019? Is it more or less, and by how much?

Accepted Answer

**Solution:**

1. **Calculate total students and boys in school B and D in 2019:**
   - Total students in school B = 15\% of 5000 = $0.15 	imes 5000 = 750$
   - Total boys in school B = 15\% of 2800 = $0.15 	imes 2800 = 420$
   - Therefore, girls in school B in 2019 = $750 - 420 = 330$

- Total students in school D = 12\% of 5000 = $0.12 	imes 5000 = 600$

2. **Calculate number of boys and girls in school B in 2020:**
   - Boys decreased by $14\frac{2}{7}\% = \frac{100}{7}\% \approx 14.2857\%$
   - New number of boys in school B in 2020 = $420 	imes (1 - 0.142857) = 420 	imes 0.857143 = 360$

- Girls increased by 20\%
   - New number of girls in school B in 2020 = $330 	imes 1.20 = 396$

3. **Calculate total students in school B in 2020:**
   - Total = Boys + Girls = $360 + 396 = 756$

4. **Compare total students in school B (2020) with school D (2019):**
   - Difference = $756 - 600 = 156$
   - Percentage difference relative to school D (2019):
     $$\frac{156}{600} 	imes 100 = 26\%$$

5. Since $756 > 600$, total students in school B in 2020 are 26\% more than total students in school D in 2019.

**Answer:** 26\%

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