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Rajat and Derick start a business with investments of Rs. 2000 and Rs. 3500 respectively. After 3 months, Derick takes out Rs. 750 from his capital while Kishore joins them with a capital of Rs. 5000. At the end of 6 months, they earn a profit of Rs. 2750. What is the share of kishore in the profit?

Rajat and Derick start a business with investments of Rs. 2000 and Rs. 3500 respectively. After 3 months, Derick takes out Rs. 750 from his capital while Kishore joins them with a capital of Rs. 5000. At the end of 6 months, they earn a profit of Rs. 2750. What is the share of kishore in the profit? Correct Answer  Rs. 901.64

Initial investment of Derick = Rs. 3500

⇒ Derick invested Rs. 3500 for 3 months and Rs. (3500 – 750) = 2750 for 3 months.

⇒ And, Kishore invested Rs. 5000 for 3 months

⇒ Rajat : Derick : Kishore = (2000 ⨯ 6) : (3500 ⨯ 3 + 2750 ⨯ 3) : (5000 ⨯ 3)

⇒ Rajat : Derick : Kishore = 12000 : 18750 : 15000

⇒ Rajat : Derick : Kishore = 1200 : 1875 : 1500

⇒ Total profit for 6 months = Rs.2750

∴ Kishore’s share = Rs. (2750 ⨯ 1500/4575) = Rs. 902

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