Question

P and Q into a partnership for a year. Initial investment of P is Rs. 500 and initial investment of Q is 40% of initial investment of P. After 5 months, P adds half of the initial investment of P and after 4 months, Q adds again Rs. 200. Total profit they had is Rs.2350. Find the difference between their profit shares.
1. Rs. 750
2. Rs. 600
3. Rs. 900
4. Rs. 800
5. Rs. 500

Answer 1

Correct Answer - Option 1 : Rs. 750

Given:

⇒ Total investment of P = 500 × 5 + 750 × 7 = Rs.7750

⇒ Initial investment of Q = 500 × 40/100 = Rs.200

⇒ Total investment of Q = 200 × 4 + 400 × 8 = Rs.4000

Ratio oft their profit shares = 7750 : 4000 = 31 : 16

∴ Required difference = 2350 × (31 - 16) /(31 + 16) = Rs.750