A, B and C started a business each investing Rs.10000. After 4 month A withdraws Rs.3000, B withdraws Rs.4000, C invest Rs.3000 more At the end of the years, a total profit was Rs.32800. Find the share of C.
Answers
Step-by-step explanation:
C's share would be rs 20013.48
Step-by-step explanation:
Given,
For first 4 months :
A's investment = 10000,
B's investment = 10000,
C's investment = 10000,
∵ After 4 month A withdraws Rs.3000, B withdraws Rs.4000, C invest Rs.3000,
So, for other 8 months :
A's investment = 7000,
B's investment = 6000,
C's investment = 13000,
Since, profit is jointly proportional to investment and time,
Thus, the ratio of the profits of A, B and C after 1 year
= 10000 × 4 + 7000 × 8: 10000 × 4 + 6000 × 8: 10000 × 4 + 13000 × 8
= 40000 + 56000 : 40000 + 48000 : 40000 + 104000
= 96000 : 88000 : 144000
= 12 : 11 : 36
Let, A's share = 12x, B's share = 11x and C's ahare = 36x
Where, x is any positive real number,
Total profit = 12x + 11x + 36x = 59x
According to the question,
59x = 3280059x=32800
\implies x =\frac{32800}{59}=555.93⟹x=
59
32800
=555.93
Hence, share of C = 36(555.93) = 20013.48.
#Learn more:
A, B and C started a business with a total investment of Rs.72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year Rs.8640, find A's share
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