If A B 3 4 and B C 1 5 then what is A C ........

Quantitative Aptitude (MTS) Ratio, Proportion

If A : B = 3 : 4 and B C = 1 : 5, then what is A : C?

This questions was previously asked in

SSC MTS 20th July 2022 Shift-2

3 : 20

3 : 4

1 : 4

3 : 5

- Given: A : B = 3 : 4. This means A = 3x and B = 4x for some value of x.

- Also given: B : C = 1 : 5. This implies B = 1y and C = 5y for some value of y.

- To find A : C, ensure B is the same in both ratios.

- Equate B in terms of x and y: \(4x = 1y\). Therefore, \(y = 4x\).

- Substitute y in terms of x into C: C = 5y = 5(4x) = 20x.

- Now, express A : C using x: A = 3x and C = 20x.

- Thus, A : C = 3x : 20x = 3 : 20.

- Option 1: 3 : 20.

- Option 2: 3 : 4. Incorrect.

- Option 3: 1 : 4. Incorrect.

- Option 4: 3 : 5. Incorrect.

Submit Error