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A, B, and C started a business by investing Rs. 3600, Rs. 4500 and Rs. 4000 respectively. After 4 months C withdrew Rs. 1000 while A invested Rs. 2400 more. In annual profit of Rs. 39100, the share of B will exceed that of C by
1. Rs. 3500
2. Rs. 4000
3. Rs. 3900
4. Rs. 3910

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Correct Answer - Option 1 : Rs. 3500

Given:

A, B, and C started a business by investing Rs. 3600, Rs. 4500 and Rs. 4000 respectively.

Concept used:

Divide the profit according to investment ratio.

Calculations:

The ratio of investment of A, B and C = (3600 × 4 + 6000 × 8) ∶ (4500 × 12) ∶ (4000 × 4 + 3000 × 8)

⇒ (36 + 120) ∶ (45 × 3) ∶ (40 + 60) = 156 ∶ 135 ∶ 100

Required difference \(= Rs. (\frac{135\ -\ 100}{391})\ \times 39100\)

⇒ Rs. 3500

∴ The required difference is Rs. 3500.

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