Ram and Ankur make a partnership. Ram invests ₹35,000 for 6 months and Ankur invests some money for 7 months. Ankur claims $\frac{4}{7}$ of total profit. Then the money invested by Ankur is :

₹40,000

The correct answer is Option (4) → ₹40,000

Let Ankur's Investment be x.

$∴\frac{\text{Ram's Share}}{\text{Ankur's Share}}=\frac{\text{Ram's Investment × Time}}{\text{Ankur's Investment × Time}}$

$⇒\frac{3}{7}=\frac{35000×6}{x×7}$

$⇒21x=35000×6×4$

$⇒x=\frac{840000}{21}=40000$