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- Quantitative Aptitude
$A$ and $B$ started a business by investing $Rs.\, 3,50,000$ and $Rs.,1,40,000$ respectively. A gets $20\%$ of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If $A$ receives totally $Rs.\,38,000$ more than $B$ at the end of a $year,$ then the profit is (in $Rs.$)
$28000$
$280000$
$105000$
$70000$
Solution
Ratio of profit $=350000: 140000=5: 2$
If the total profit be $₹ x,$ then
$A'$s share $=\frac{5}{7} \times \frac{4 x}{5}+\frac{x}{5}=\frac{4 x}{7}+\frac{x}{5}$
$=\frac{20 x+7 x}{35}=₹ \frac{27 x}{35}$
$B'$s share $=\frac{2}{7} \times \frac{4 x}{5}=₹ \frac{8 x}{35}$
$\therefore$ Difference $=\frac{27 x}{35}-\frac{8 x}{35}=\frac{19 x}{35}$
Now, according to the question,
$\therefore \frac{19 x}{35}=38000$
$\therefore \quad x=\frac{38000 \times 35}{19}=Rs. 70000$
