The sum of the salaries of A and B is ₹42,000. A spends 75% ofhis salary and B spends 90% of his salary. Now their savings are the same. Whatis A’s salary (in ₹) ?

Let the salary of A = $$₹x$$ and that of B = $$₹y$$

According to question,

$$\therefore x + y = ₹42,000$$

Also,  A's savings = 25% (as he spends 75% of his salary)

         B's savings = 10% (as he spends 90% of his salary)

$$\Rightarrow$$ A's savings= $$x\times \frac{25}{100} = \frac{x}{4}$$

$$\Rightarrow$$ B's savings= $$y\times \frac{10}{100} = \frac{y}{10}$$

As Given,$$ \frac{x}{4}$$ =  $$\frac{y}{10}$$, Which Gives

$$\Rightarrow y= \frac{5x}{2}$$, Put this value of $$y$$ in above equation

$$x + \frac{5x}{2} = ₹42,000$$, which gives

$$\Rightarrow x = ₹12,000$$