A started a business by investing some money and B invested Rs 5000 more than that of A A remained i...........

Quantitative Aptitude (RAS) Partnership

A started a business by investing some money and B invested Rs. 5000 more than that of A. A remained in business for 5 months and B remained in business 1 month more than A. out of the total profit of Rs. 26000, B got Rs. 6000 more than A. Find the capitals invested A and B.

Rs. 29,000, Rs. 18,000

Rs. 25,000, Rs. 30,000

Rs. 15,000, Rs. 10,000

Rs. 15,000, Rs. 20,000

Explanation:

Let amount invested by A = Rs. X
A : B
Capital → x : (x + 5000)
According to the question,
Share of A in profit = (26000 - 6000)/2 = 10,000
Share of B in profit = (26,000 – 10,000) = Rs. 16,000
By using formulas
x × 5/(x + 5000)x6 = 10,000/16000
x = 15,000
Required capital of A = Rs. 15,000
Required capital of B = Rs. (15,000 + 5,000) = 20,000

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