A invested Rs X and B invested Rs X 900 in a business for 12 months and 8 months respectively If the...........

Quantitative Aptitude(IBPS PO) Partnership

A invested Rs. X and B invested Rs. (X + 900) in a business for 12 months and 8 months respectively. If the total profit earned at the end of the year is Rs. 5800 and the profit share of B is Rs. 1000 more than the profit share of A, then find the amount invested by B in the business.

This questions was previously asked in

IBPS PO Prelims (15 Oct, 2022 Shift 1)

View All IBPSPO Previous Year Papers

Rs. 1200

Rs. 1700

Rs. 1500

Rs. 1800

Rs. 2000

छोटे Courses बड़े Results

Master Partnership

Prepare through Micro-courses

Try Now

Explanation:

- A invested Rs. X for 12 months, while B invested Rs. (X + 900) for 8 months.

- The total profit is Rs. 5800. B's profit share is Rs. 1000 more than A's share.

- Let A's profit share be "A" and B's profit share be "B".

- Since B's share is Rs. 1000 more than A's share, so \( B = A + 1000 \).

- The ratio of the products of investments and time gives the profit ratio: \( (X \times 12) : ((X + 900) \times 8) \).

- Simplifying, the ratio becomes \( 12X : (8X + 7200) \).

- Replace B's share in terms of A's share in the equation for the sum of profits: \((A + (A + 1000) = 5800 \Rightarrow 2A + 1000 = 5800 \Rightarrow 2A = 4800 \Rightarrow A = 2400)\).

- Thus, B's share is 3400.

- Using the profit ratio equation, solve for X, leading to X = 800.

- Thus, B's investment is \(800 + 900 = 1700\).

Option 2 - Rs. 1700 is the correct answer.