Question

Abdul started a business with Rs 10,000 and 4 months later Bhasker joined with rs 15000.
At the end of the year, out of total profit, Abdul recieved a total amount of Rs 4400, which included a 10% of profit. What was the amount Bhaskar recieved? ​

Answer 1

Given:

Abdul's investment in the business = Rs. 10,000

Time of investment of Abdul = 12 months

Bhaskar's investment in business = Rs. 15,000

Time of investment of Bhaskar = 12 - 4 = 8 months

At the end of the year, out of total profit, Abdul recieved a total amount of Rs 4400, which included a 10% of the profit

To find:

The amount received by Bhaskar

Solution:

We know that,

• Profit = Investment × Time

∴ The ratio of profits of Abdul & Bhaskar at the end of the year is,

= [10,000 × 12] : [15,000 × 8]

= 120000 : 120000

= 1 : 1

Let "x" represent the total amount of profit.

Here we are given that Abdul had received 10% of the profit in his share

i.e., The amount of commission received by Abdul = $\frac{10x}{100} = \frac{x}{10}$

∴ The remaining profit = $x - \frac{x}{10} = \frac{10x - x}{10} = \frac{9x}{10}$ ← this is the amount which is shared among Abdul and Bhaskar in the ratio of 1 : 1.

Since the total amount received by Abdul of Rs. 4400 includes a 10% profit, therefore we can form an eq. as,

$\frac{x}{10}\: +\: [\frac{9x}{10} \times \frac{1}{2} ] = 4400$

$\implies \frac{x}{10}\: +\: \frac{9x}{20} = 4400$

$\implies \frac{2x\:+\:9x}{20}\: = 4400$

$\implies \frac{11x}{20}\: = 4400$

$\implies 11x = 88000$

$\implies \bold{x = 8000}$ ← the total amount of profit

Now,

Bhaskar's share out of the total profit amount = 8000 - 4400 = Rs. 3600

Thus, the amount received by Bhaskar at the end of the year was Rs. 3600.

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