The sum of the salaries of A and B together is ₹4300. A spends 95% of his salary and B, 80% of his salary. If their savings are the same, what is A's salary?

Correct option is A

Given:
Total salaries of A and B together = ₹4300.
A spends 95% of his salary, so he saves 5%.
B spends 80% of his salary, so he saves 20%.
Savings of A and B are the same.

Solution:

Let A's salary be x . Then, B's salary is 4300 - x .
$$\text{A's savings} = 5\% \text{ of } x = 0.05x$$​
$$\text{B's savings} = 20\% \text{ of } (4300 - x) = 0.20(4300 - x)$$​
0.05x = 0.20(4300 - x)
$$0.05x = 0.20 \times 4300 - 0.20x$$​
0.05x + 0.20x = 860
0.25x = 860
x $$= \frac{860}{0.25} = 3440$$​