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A and B entered into a business investing Rs. X and Rs. X + 1500 respectively. After 4 months, A withdrew Rs. 1000 and B invested Rs. 2000 more. The ratio of their profits at the end of one year is 23:44. Find the initial amount invested by B.

1. Rs.4500
2. Rs.6000
3. Rs.6600
4. Rs.4200

Correct answer: Rs.6000

Solution

Profit is shared in the ratio of capital × time. Using the changes after 4 months, the effective investments are formed for each partner over the year, and solving the resulting ratio equation gives B’s initial investment as Rs. 6000.

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