A and B started a business together in a partnership B left the business after 8 months At the end o...........

Quantitative Aptitude (SBI-PO) Partnership

A and B started a business together in a partnership. B left the business after 8 months. At the end of year profit is Rs. 4000, out of which profit of B is Rs. 3000, the investment of B is how much percentage more than the investment of A?

450%

400%

350%

300%

250%

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Explanation:

Let the investments of A and B are Rs. x and Rs. y respectively.
Ratio of Profit A : B = (4000 – 3000) : 3000 = 1 : 3 = x × 12 : y × 8
⇒ $\frac{1}{3}=\frac{12x}{8y}$
⇒ 8y = 36x
⇒ y = 4.5x
Required percentage =(4.5x-x)/x × 100 = 350%
Hence, the answer is option C.