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A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?

A. Rs. 8000 B. Rs. 12000 C. Rs. 18000 D. Rs. 20000 Answer: Option A
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Solution(By Apex Team)

Initial ratio of investments by A and B = 2 : 3 Let their respective investments are 2x and 3x According to the question, If A added Rs. 10000 to his investment Then the new ratio = 3 : 2 $\begin{array}{l}\Rightarrow\Large\frac{2x+10000}{3x}=\frac{3}{2}\\ \Rightarrow4x+20000=9x\\ \Rightarrow5x=20000\\ \Rightarrow x=4000\end{array}$ Original investment by A = 2 × 4000 = Rs. 8000

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