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.