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In a business, Ankit invests 3/5 of the total capital for 4 months, while Chintu invests 11/40 of the total capital for 1 year. If Ankit's share of th
Question

In a business, Ankit invests 3/5 of the total capital for 4 months, while Chintu invests 11/40 of the total capital for 1 year. If Ankit's share of the profit is ₹40,000, what is the total profit earned by the business?

A.

95,000

B.

1,14,000

C.

90,000

D.

85,000

Correct option is A

Given:
Ankit's capital share = 35 \frac{3}{5}​​
Ankit's investment time = 4 months
Chintu's capital share = 1140 \frac{11}{40}​​
Chintu's investment time = 12 months
Ankit's profit share = ₹40,000
Formula Used:
Profit Ratio = Ratio of (Capital × Time)
Solution:
Ankit's effective investment = 35×4=125=9640 \frac{3}{5} × 4 = \frac{12}{5} = \frac{96}{40}​​
Chintu's effective investment = 1140×12=13240 \frac{11}{40} × 12 = \frac{132}{40}​​
Ratio of Ankit's profit to Chintu's profit = 9640:13240=96:132\frac{96}{40} : \frac{132}{40} = 96 : 132​​
Simplifying by dividing by 12: Ratio = 8 : 11
Let Ankit's profit be 8x and Chintu's profit be 11x.
8x = 40000
x = 5000
Total profit = 8x + 11x = 19x
Total profit = 19 × 5000 = 95000
Final Answer
So the correct answer is (a)

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