Three men A, B and C start a business together. They invest Rs. 30000, Rs. 24000 and Rs. 42000, respectively in the beginning. After 4 months, B took out Rs. 6000 and C took out of Rs. 10000. They get a profit of Rs. 11960 at the end of the year. B’s share in the profit is
(a) Rs. 2700
(b) Rs. 2803
(c) Rs. 2900
(d) Rs. 2785
(e) None of these
Answers
Answered by
6
Answer:The correct option is (b) Rs. 2803
Step-by-step explanation:
After B took out Rs. 6000,B's investment is 24000 -6000 = 18000
After C took out Rs.10000 C's share becomes, 42000 - 10000 = 32000
Ratio of equivalent gain by each for one month
= 30000 x 12 : (24000 x 4 + 18000 x 8) : (42000 x 4 + 32000 x 8)
= 360000 : 240000 : 424000 = 90 : 60 : 106
= 45 : 30 : 53
Sum of ratios = 45 + 30 + 53 = 128
Therefore, B's share
= 30/128 x 11960
= Rs.2803
Hope it helps!
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Answered by
3
Ratio of equivalent capitals for 1 month
= 30000 x 12 : (24000 x 4 + 18000 x 8) : (42000 x 4 + 32000 x 8)
= 360000 : 240000 : 424000 = 90 : 60 : 106
= 45 : 30 : 53
Sum of ratios = 45 + 30 + 53 = 128 B's share
= 30/128 x 11960
= Rs.2803
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