In school some students from section A were shifted to section B of Class X and thereby the number o...........

Quantitative Aptitude (MTS) Percentage

In school, some students from section A were shifted to section B of Class X, and thereby, the number of students in section B

increased by 12%. But at a later stage,all of them were shifted back to section A. By what percentage (correct up to two

decimal places) did the number of students of section B decrease?

This questions was previously asked in

SSC MTS 13th October 2021 Shift-2

12%

10.71%

11%

- Initial condition: Students from section A moved to section B, increasing section B's number by 12%.

- Let the original number of students in section B be \( x \).

- After moving from A to B, section B's new count: \( x + 0.12x = 1.12x \).

- Later, the students were moved back to section A.

- The number of students in section B returns to its original count \( x \).

- Percentage decrease: \(\frac{1.12x - x}{1.12x} \times 100\).

- Simplifying gives: \(\frac{0.12x}{1.12x} \times 100 = 10.71%\).

Option 2: 10.71% is the correct answer.

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