what is the profit received by Ashwin in a business if he partnered with ram having investment ratio 11 : 15 where ram increased his investment by 30 percent after 6 months and Ashwin increased his investment by 40 percent after 8 months and the total profit after end of the year is 89150 ?
Answers
Ashwin's share would be 38036.02
Step-by-step explanation:
Given,
The ratio of investment of Ashwin and Ram initially = 11: 15
That is,
Ashwin's investment for first 6 months = 11x,
Ram's investment for first 8 months = 15x,
Where, x is any positive real number,
After increasing Ram's investment by 30% and Ashwin's investment by 40%,
Ashwin's investment for last 6 months = 130% of 11x, = 1.3(11x) = 14.3x
Ram's investment for second 4 months = 140% of 15x,= 1.4(15x) = 21x,
Since, Profit s jointly proportional to time and investment,
Thus, ratio between the profits of Ashwin and Ram after 1 year
= 11x × 6 + 14.3x × 6 : 15x × 8 + 21x × 4
= 66x + 85.8x : 120x + 84x
= 151.8x : 204x
= 253 : 340
Let Ashwin's share = 253y, Ram's share = 340y
Where, y is also a positive real number,
Total profit = 253y + 340y = 593y
According to the question,
593y = 89150
Hence, the profit earned by Ashwin = 253(150.34) = 38036.02
#Learn more:
Three partners A, B, C shared their profit in the ratio 4 : 5 : 6. If A partnered for 10 months, B partnered for 15 months and C partnered for 16 months, what is the ratio of their investments?
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