Correct Answer - Option 3 : Rs. 70,000

**Given:**

Tina invested 5/4 times the amount invested by Aman in a startup.

After 6 months, Aman withdrew ¾ th of his capital while after 9 months, Tina withdrew half of her capital.

At the end of one year, profits made were equal to Rs. 1,10,000.

**Concepts used:**

Net capital = Time for which capital is invested × capital invested

**Calculation:**

Tina invested 5/4 times the amount invested by Aman in a startup.

Let capital invested by Aman be x.

⇒ Capital invested by Tina = 5x/4

After 6 months, Aman withdrew ¾ th of his capital.

⇒ Net capital invested by Aman = (6 × x) + 6 × {x – (3x/4)} = 6x + (3x/2) = 15x/2

After 9 months, Tina withdrew half of her capital.

⇒ Net capital invested by Tina = (9 × 5x/4) + 3 × {5x/4 – (1/2 × 5x/4)} = 105x/8

Ratio of net capital of Aman and Tina = 15x/2 ∶ 105x/8 = 60 ∶ 105 = 4 ∶ 7

At the end of one year, profits made were equal to Rs. 1,10,000.

⇒ Amount of profits received by Tina = 7/(4 + 7) × Rs. 1,10,000

⇒ Amount of profits received by Tina = Rs. 70,000

**∴**** Tina received profits equal to Rs. 70,000. **