SSC CGL 9 Aug 2015 Shift 2 Paper

Question : 118 of 200

Marks: +1, -0

A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

Rs. 2400
Rs. 1200
Rs. 3600
Rs. 4800

Validate

Solution:

Ratio of equivalent capitals of A, B and C for 1 month
= (16000 × 3 + 11000 × 9) : (12000 × 3 + 17000 × 9) : (21000 × 6)
= (48000 + 99000) : (36000 + 153000) : 126000
= 147000 : 189000 : 126000
= 49 : 63 : 42
= 7 : 9 : 6
Sum of ratios = 7 + 9 + 6 = 22
∴ Required difference = Rs.

({9-6}/{22} ×26400)

= Rs.

{3×26400}/{22}

= Rs. 3600

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