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Raju and Ramu went into a partnership for a year. Raju invests Rs.250 and Ramu invests some amount. After 7 months, Raju adds Rs.150 and Ramu removes Rs.150 to their respective investment. Total profit they had is RS.2800. The difference between their profit shares is Rs.300. Find the initial investment of Ramu. (Ramu share is 300 more than Raju)
1. Rs.600
2. Rs.450
3. Rs.300
4. Rs.500
5. Rs.560

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Correct Answer - Option 2 : Rs.450

Given:

Let initial investment of Ramu be Rs.a.

⇒ Total investment of Raju = 250 × 7 + 400 × 5 = Rs.3750

⇒ Total investment pf Ramu = a × 7 + (a - 150) × 5 = Rs.(12a - 750)

Total profit shares of Raju and Ramu = Rs.2800

The difference between the profit shares = 300

Solving,

⇒ The profit share of Raju = Rs.1250

⇒ The profit share of Ramu = Rs.1550

Then,

⇒ 3750 : (12a - 750) = 1250 : 1550

⇒ a = 450

∴ Initial investment of Ramu is Rs.450.

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