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Ali, Kamal and Waleed Invested Rs. 8000, Rs. 4000 and Rs. 8000 Respectively in a Business. Ali Left After 6 Months. If After 8 Months, there was a Gain of Rs. 4005, then what will be the Share of Kamal?

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Explanation

Ali, Kamal and Waleed invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business.

Ali left after 6 months.

First we’ll calculate Ali, Kamal and Waleed’s investment for 6 months, 8 months and 8 months respectively (8000 x 6 = 48000, 4000 x 8 = 32000 and 8000 x 8 = 64000).

As the ratio of investment always equals to the ratio of profit so ratio of Ali : Kamal : Waleed will be reduced to its lowest form.

Now, share of Kamal at the end of 8 months will be deduced by placing all the known values in the formula mentioned here under as:

Kamal’s share in profit = (Kamal’s ratio of investment x total profit)/total ratio

To Find

Kamal’s share in profit = ?

Solution

Total investment of Ali for 6 months = 8000 x 6 = 48000

Total investment of Kamal for 8 months = 4000 x 8 = 32000

Total investment of Waleed for 8 months = 8000 x 8 = 64000

Ali : Kamal : Waleed = 48000 : 32000 : 64000

Ali : Kamal : Waleed = 3 : 2 : 4          (and 3 + 2 + 4 = 9)

Given profit = 4005

Kamal’s share in profit = (2 x 4005)/9

Kamal’s share in profit = Rs. 890 answer

Conclusion

Ali, Kamal and Waleed invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Ali left after 6 months. If after 8 months, there was a gain of Rs. 4,005, then share of Kamal will be Rs. 890.

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