A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Tk. 12000, their ratio of investment would have been 3 : 2. The amount invested by A was?

Question: A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Tk. 12000, their ratio of investment would have been 3 : 2. The amount invested by A was?

Solution:
Let, their respective investments are 2x and 3x

If A added Tk. 12000 to his investment
Then the new ratio = 3 : 2

∴ (2x + 12000) : 3x = 3 : 2
⇒ 9x = 4x + 24000
⇒ 5x = 24000
⇒ x = 4800

Hence, the investment of A is = (2 × 4800)
= 9600