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?

1:

4280

2:

3480

3:

3200

4:

2880

5:

2080

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

Ratio of their investments

⇒ $[3x×4+121 (4x+5x)×8]$: $(4x×12)$: $(5x×12)$

⇒ $(12x+49x ×8):48x:60x$

⇒ $(12x+18x):48x:60x$

⇒ 30x : 48x : 60x

⇒ 5x : 8x : 10x

⇒ 23x = 9200

⇒ x = 400

B's share = Rs 400 $×$ 8 = Rs 3200

This has been asked in Question Paper

SBI PO Prelims 2017

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