Arvind gives half of his monthly salary to his wife for household expenses. He spends ₹2,500 on his personal expenses. The saving he manages per month is 3/7 of his monthly salary. What is Arvind’s per month salary?

Let the monthly salary of Arvind = a

According to the problem,

Total expenses of Arvind = $$\frac{a}{2}+2500$$

Savings of Arvind = $$\frac{3}{7}$$ of monthly salary

$$\Rightarrow$$ $$\frac{3}{7}a=a-\left(\frac{a}{2}+2500\right)$$

$$\Rightarrow$$ $$\frac{3}{7}a=a-\frac{a}{2}-2500$$

$$\Rightarrow$$ $$\frac{3}{7}a=\frac{a}{2}-2500$$

$$\Rightarrow$$ $$\frac{a}{2}-\frac{3}{7}a=2500$$

$$\Rightarrow$$ $$\frac{7a-6a}{14}=2500$$

$$\Rightarrow$$ $$a=2500\times14$$

$$\Rightarrow$$ $$a=35000$$

$$\therefore\ $$Arvind's monthly salary = ₹35,000

Hence, the correct answer is Option D