Jaya and Shivani invested Rs. 5000 and Rs. 6000 respectively in a business. After six months, Riya joined the business with a capital of Rs. 3000, and Jaya left the business. If at the end of one year, the difference between the profit shares of Jaya and Riya is Rs. 200, what is the profit share (in Rs.) of Shivani?

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**Solution:**

1. Calculate the effective capital contributions in terms of capital × time for each partner:
   - Jaya invested Rs. 5000 for 6 months: $5000 	imes 6 = 30000$
   - Shivani invested Rs. 6000 for 12 months: $6000 	imes 12 = 72000$
   - Riya invested Rs. 3000 for 6 months: $3000 	imes 6 = 18000$

2. The profit sharing ratio is therefore:
   $$Jaya : Shivani : Riya = 30000 : 72000 : 18000 = 5 : 12 : 3$$

3. Given that the difference between Jaya's and Riya's profit shares is Rs. 200:
   $$5x - 3x = 200 \implies 2x = 200 \implies x = 100$$

4. Shivani's profit share is:
   $$12x = 12 	imes 100 = 1200$$

**Answer:** Rs. 1200

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