The height of A is 20 more than of B and the height of B is 20 less than that of C The height of C i...........

Quantitative Aptitude (MTS) Percentage

The height of A is 20% more than of B, and the height of B is 20% less than that of C. The height of C is 30% more than that of

D. If the difference between the heights of C and A is 6.8 cm, then what is the height (in cm) of B?

This questions was previously asked in

SSC MTS 26th October 2021 Shift-2

136

135

132

140

- Let's define the heights:

- A = 1.2B (A is 20% more than B).

- B = 0.8C (B is 20% less than C).

- C = 1.3D (C is 30% more than D).

- We know that the difference between the heights of C and A is 6.8 cm, so C - A = 6.8.

- Substitute A and B expressions into C - A:

\(C - 1.2B = 6.8\)

- Use B = 0.8C:

\(C - 1.2(0.8C) = 6.8\)

\(C - 0.96C = 6.8\)

\(0.04C = 6.8\)

\(C = 170\).

- Now find B:

\(B = 0.8 \times 170 = 136\).

- Correct Answer: Option 1, 136

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