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P and Q went into a partnership for a year. P invests Rs. 200 and Q invests twice the amount invested by P. After 8 months, P adds Rs. 200 to his investment and after 7 months Q removes some amount from his investment. The profit share of Q out of total profit of Rs. 2800 is Rs. 1520. Find the total difference between total investment of Q and P.
1. Rs. 650
2. Rs. 500
3. Rs. 400
4. Rs. 600
5. Rs. 200

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Correct Answer - Option 4 : Rs. 600

Given:

⇒ Total investment of P = 200 × 8 + (200 + 200) × 4 = Rs.3200

Let amount removed by Q after 7 months be Rs.a.

⇒ Total investment of Q = (200 × 2 × 7) + (400 - a) × 5 = Rs.(4800 - 5a)

Ratio of their profit shares = 3200 : (4800 - 5a)

Then,

⇒ 1520/2800 = (4800 - 5a)/(3200 + 4800 - 5a)

⇒ 19/35 = (4800 - 5a)/(8000 - 5a)

Solving,

⇒ a = 200

Total investment pf Q = 4800 - 5 × 200 = Rs.3800

∴ Required difference = 3800 - 3200 = Rs.600

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