Question

Suresh started a business by investing a certain amount of money. Rakesh joined him after four months by investing Rs. 50000. If after one year Suresh and Rakesh share the profit in the ratio of 10:8, how much capital did Suresh invest?​

Answer 1

Given:

Suresh started a business by investing a certain amount of money.

Rakesh joined him after four months by investing Rs. 50000.

If after one year Suresh and Rakesh share the profit in the ratio of 10:8

To find:

How much capital did Suresh invest?

Solution:

Let "x" represents the amount of investment by Suresh.

The time of investment by Suresh = 12 months

The amount of investment by Rakesh = Rs. 50000

The time of investment by Rakesh = 12 - 4 = 8 months

We know that

$\boxed{\bold{Ratio\:of\:Investment \times Time = Ratio\:of\:Profit}}$

Therefore, we can form an equation as:

$12\times x : 50000 \times 8 = 10 : 8$

$\implies 12x : 400000 = 10 : 8$

$\implies \frac{12x}{400000} = \frac{10}{8}$

$\implies 12x = \frac{10}{8} \times 400000$

$\implies x = \frac{10}{8} \times 400000 \times \frac{1}{12}$

$\implies \bold{x = 41666.67}$

Thus, Suresh invested capital of Rs. 41666.67.

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