Question

A started a business with $Rs$.$2,70,000$and was joined by B three months afterward. How much money did B invest if the profit share of A at the end of the year was three-fifth of the total profit?

Answer 1

Assume that a company's overall profit is "$x$" Rs.

Given that A's profit was three-fifths of the overall profit at the end of the year$=\frac{3}{5}x$

And therefore, the profit for B $=x-\frac{3}{5}\times \frac{5x-3x}{5}=\frac{2x}{5}$

Take the profit ratio for A and B now.

$\frac{A}{B}=\frac{\frac{3x}{5}}{\frac{2x}{5}}$

The numerator's and denominator's common factors cancel each other out.

The denominator of the numerator goes to the denominator, and the denominator goes to the numerator.

$\frac{A}{B}=\frac{3\times 5}{2\times 5}$

The numerator and denominator's common factors cancel each other out once again.

$\frac{A}{B}=\frac{3}{2}$

A invests $Rs.2,70,000$.

B's contribution can be made in a variety of ways $\frac{2}{3}\times 2,70,000$

Find, the factors in the numerator of the above expression for the phrase$=\frac{2}{3}\times 3\times 90000$

Common multiples in the numerator and denominator cancel each other out, removing them from the numerator and denominator, respectively.

$=2\times 90000$

Find the product of the terms in the above phrase

$=180000Rs$

As a result, B made an investment of $Rs.180000$.