Correct Answer - Option 1 : Rs. 79,800
Given:
Harshit invested 3/2 times the amount invested by Aditya in a coaching class.
After 6 months, Aditya withdrew ¾ th of his capital while after 9 months, Harshit withdrew half of his capital.
At the end of one year, profits made were equal to Rs. 1,17,800.
Concepts used:
Net capital = Time for which capital is invested × capital invested
Calculation:
Harshit invested 3/2 times the amount invested by Aditya in a coaching class.
Let capital invested by Aditya be x.
⇒ Capital invested by Harshit = 3x/2
After 6 months, Aditya withdrew ¾ th of his capital.
⇒ Net capital invested by Aditya = (6 × x) + 6 × {x – (3x/4)} = 6x + (3x/2) = 15x/2
After 9 months, Harshit withdrew half of his capital.
⇒ Net capital invested by Harshit = (9 × 3x/2) + 3 × {3x/2 – (1/2 × 3x/2)} = 63x/4
Ratio of net capital of Aditya and Harshit = 15x/2 ∶ 63x/4 = 10 ∶ 21
At the end of one year, profits made were equal to Rs. 1,17,800.
⇒ Amount of profits received by Harshit = 21/(21 + 10) × Rs. 1,17,800
⇒ Amount of profits received by Harshit = Rs. 79,800
∴ Harshit received profits equal to Rs. 79,800.