Amar got ₹6,000 as his share out of total profit of ₹10,000. Anirudh has invested ₹4,000 for 6 months, while Amar invested for 12 months. What Amount was invested by Amar ?

₹ 3000

The correct answer is Option (2) → ₹ 3000

Profit is divided in the ratio of Investment × Time.

Anirudh's Share = $₹4,000×6=₹24,000$

Amar's Share = $x×12=12x$

$\frac{12x}{24,000}=\frac{\text{Amar's Profit}}{\text{Anirudh's Profit}}$

$\frac{12x}{24,000}=\frac{6}{4}$

$x=\frac{1,44,000}{48}=₹3000$