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A starts a business by investing Rs. 28000. After 2 months, B joins with Rs. 20000 and after another 2 months C joins with Rs. 18000. At the end of 10 months from the start of the business, if B withdraws Rs. 2000 and C withdraws Rs. 2000, in what ratio should the profit be distributed among A, B and C at the end of the year ?
Options:
A .  12 : 7 : 5
B .  12 : 9 : 5
C .  12 : 6 : 3
D .  14 : 7 : 5
Answer: Option A
A invests money for 12 months
B invests money for 10 months
C invests money for 8 months
Ratio of profit of A to B to C
= 28000 × 12 : 20000 × 8 + 18000 × 2 : 18000 × 6 + 16000 × 2
= 28 × 12 × 1000 : (160 + 36) × 1000 : (108 + 32) × 1000
= 28 × 12 : 160 + 36 : 108 + 32
= 336 : 196 : 140
= 12 : 7 : 5

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