Multiple choice

Vasudha and Sudheer entered into a partnership business by investing Rs. 32,000 and Rs. 24,000, respectively. After 5 months, Vasudha withdrew Rs. 12,000, while Sudheer invested Rs. 6000 more. After 3 more months, Sravani joined the business with a capital of Rs. 40,000. They shared the profit at the end of 10 months. If the share of Sudheer is Rs. 800 more than the share of Vasudha, then find the share of Sravani in the profit.

  1. Rs. 6400

  2. Rs. 7200

  3. Rs. 8500

  4. Rs. 9500

  5. None of these
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A Correct answer
Explanation

Calculate investment-months: Vasudha: 32000*5 + 20000*5 = 260000. Sudheer: 24000*5 + 30000*5 = 270000. Sravani: 40000*2 = 80000. Ratio V:S:Sr = 26:27:8. Difference in profit share (Sudheer - Vasudha) = 1 unit = 800. Sravani's share = 8 units = 6400.

AI explanation

Using the compound partnership method, the ratio of profit shares equals the ratio of the product of investment and time. Vasudha's effective capital is 32000*5 + 20000*5 = 260000, Sudheer's effective capital is 24000*5 + 30000*5 = 270000, and Sravani's effective capital is 40000*2 = 80000. Their profit ratio is 260:270:80, which simplifies to 26:27:8, meaning Sravani's share is 8 units. Since the difference between Sudheer and Vasudha is 1 unit and equals 800, Sravani's share is 8*800 = Rs. 6400.

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