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Q: P, Q and R enter into a partnership. P’s share in the capital was Rs.18000. After 1 year they earn a profit of Rs.1500 of which P’s share is Rs.675 and Q’s share is 375. What was the capital invested by R? 
A. 18000  B. 10000 
C. 15000  D. 12000 

Answer and Explanation

Answer:12000 

Explanation:
R’s share in the profit = 1500 – 675 – 375 = 450
P : Q : R = 675 : 375 : 450 = 9 : 5 : 6
Therefore, the ratio of the capital invested by P, Q, and R are in the ratio 9x : 5x : 6x
9x = 18000
x = 2000
R’s capital = 6x = 6*2000 = Rs.12000

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