Question

b.
Dhivya and Ramya started a business. They both invested Rs. 100,000
each. At the end of 6 months, Ramya predicts that the business will end
up
in a loss and she withdrew Rs. 60,000 from the business. But, at the
end of one year, the business generated a profit of Rs. 34,000. What will
be the profit share of each person?​

Answer 1

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Answer 2

Given,

A business is started with an investment of Rs.100000/- each by Dhivya and Ramya.

Later Ramya withdrew a sum of Rs.60000/- from the Business.

To Find,

Profit share of Dhivya and Ramya at the end of the year.

Solution,

Let us say the profit per lakh = $x$

So the profit for first 6 months = $2x$

Thus the profit for the next 6 months = $1.4x$

Thus $1.4x + 2x = 34000$

⇒ $3.4x = 34000$

$x = 10000$

Thus the profit in the first 6 months = $20000$ and the profit for the next 6 months = $14000$

Since the profit sharing for the first 6 months is in the ratio $1 : 1$ and for the same for the next 6 months is in the ratio $5 : 2$

So for the first 6 months, both Dhivya and Ramya get a profit sharing of $Rs 10000/-$ each.

Since the profit for the next 6 months is $Rs 14000/-$

Thus for the next 6 months Dhivya gets a profit of $Rs 10000/-$ and Ramya gets a profit share of $Rs 4000/-$.

Henceforth the profit share of Dhivya is $Rs. 20000/-$ and Ramya is $Rs. 14000/-$.