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1. 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 ?

Solution:
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
2x+100003x=324x+20000=9x5x=20000x=4000
Original investment by A = 2 × 4000 = Rs. 8000

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