Ratio, Proportion

Quantitative Aptitude (MTS)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

If P: Q = 4: 5 and P: R = 2: 3, then what is 3P: 4Q: 5R?

This questions was previously asked in

SSC MTS 5th July 2022 Shift-3

6 : 10 : 15

4 : 9 : 11

8 : 12 : 17

3 : 5 : 7

- We are given two ratios: P:Q = 4:5 and P:R = 2:3.

- To find 3P:4Q:5R, we first need to express P, Q, and R as common terms.

- For P:Q = 4:5, assume P = 4x and Q = 5x.

- For P:R = 2:3, assume P = 2y and R = 3y.

- Equate the two expressions for P to find a common scaling factor: 4x = 2y, thus y = 2x.

- Then R = 3y = 6x.

- We now have P = 4x, Q = 5x, R = 6x.

- Now calculate 3P : 4Q : 5R:

- 3P = 3 * 4x = 12x

- 4Q = 4 * 5x = 20x

- 5R = 5 * 6x = 30x

- 12x : 20x : 30x simplifies to 6 : 10 : 15.

Option 1: 6 : 10 : 15 is the correct answer.