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Question Paper from: SBI PO Prelims 2017

A, B and C started a business and invested in the ratio of 3:4:5. After 4 months, A withdrew a 1/12th amount of what B and C invested. If the annual income was 9200, then what was the share of B?

4280

3480

3200

2880

2080

Solution:

Chapter Name: Partnership

Let A, B, C, invest Rs 3x, Rs 4x, and Rs,5x initially.

Ratio of their investments

⇒ $[3 x \times 4 + \frac{1}{12} (4 x + 5 x) \times 8]$ : $(4 x \times 12)$ : $(5 x \times 12)$

⇒ $(12 x + \frac{9 x}{4} \times 8) : 48 x : 60 x$

⇒ $(12 x + 18 x) : 48 x : 60 x$

⇒ 30x : 48x : 60x

⇒ 5x : 8x : 10x

⇒ 23x = 9200

⇒ x = 400

B's share = Rs 400 $\times$ 8 = Rs 3200

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SBI PO Prelims 2017

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