Asum of Rs 31866 is divided between A B and C such that the ratio of shares of A and B is 9 8 and th...........

Quantitative Aptitude (CGL) Ratio, Proportion

Asum of Rs 31866 is divided between A, B and C such that the ratio of shares of A and B is 9 : 8 and that of A and C is 4 : 5, The

share (in Rs ) of B is:

This questions was previously asked in

SSC CGL 17th August 2021 Shift-1

9024

12690

10152

8460

- We're given a total sum of Rs 31866 to be split between A, B, and C.

- The ratio of shares between A and B is given as 9:8.

- The ratio of shares between A and C is 4:5.

- Let's find a common multiple to solve this:

- If A's share is a common multiple (let's denote as 9x, 4y), we equate them to find relation between x and y:

- 9x = 4y

- Thus, x/y = 4/9.

- Solve for x and y with combined ratios (A : B : C) using least common multiple of terms for commonality:

- A = 36, B = 32, and C = 45 giving ratio 36 : 32 : 45.

- The total number of parts = 36 + 32 + 45 = 113.

- Value of one part = 31866 / 113 = 282.

- Share of B = 32 parts = 32 * 282 = 9024.

The correct answer is Option 1: 9024.

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