In a partnership business A and B invested in the ratio of 5 6 At the end of 8 months A withdrew his...........

Quantitative Aptitude (MTS) Partnership

In a partnership business, A and B invested in the ratio of 5 : 6. At the end of 8 months A withdrew his capital. If they shared the

eventual profit in the ratio of 5 : 9, then what is the number of months for which B invested his capital?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-1

6 months

10 months

12 months

11 months

- Let's take A's investment = 5x and B's investment = 6x.

- A invested for 8 months, so his money-time = 5x × 8 = 40x.

- Suppose B invested for y months, so B's money-time = 6x × y = 6x*y.

- Profit-sharing ratio is based on money-time: 40x : 6x*y = 5 : 9.

- So, 40x / 6x*y = 5/9 ? 40 / 6y = 5 / 9.

- Cross-multiplied: 40 × 9 = 5 × 6y ? 360 = 30y ? y = 12.

- Therefore, B invested for 12 months.

Options check:

- 1. 6 months ?

- 2. 10 months ?

- 3. 12 months

- 4. 11 months ?

Correct Answer: Option 3 – 12 months.

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