Find the total investment of C ........

Quantitative Aptitude ( CCS) Partnership

Directions : A, B and C started a business. They invested amounts in the ratio 1 : 3 : 2 respectively for 8 months. After this they invested amounts in ratio 2 : 3 : 4 respectively for 4 months. The average investment of A and B is Rs 2800 while average investment of B and C is Rs 3800.

Find the total investment of C?

Rs 4000

Rs 5000

Rs 6000

Rs 4500

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Explanation:

A : B : C is
x*8 + 2y*4 : 3x*8 + 3y*4 : 2x*8 + 4y*4 gives (2x+2y) : (6x+3y) : (4x+4y)
Given::
(x+2y+3x+3y)/2 = 2800
4x+5y = 5600
Also (3x+3y+2x+4y)/2 = 3800
5x+7y = 7600
Solve both equations, x = 400, y = 800
So total investment of C = (2x+4y) = Rs 4000

Hence, option 1 is the correct answer.