If B rsquo s investment for both the terms 4 months and 8 months was swapped then find the total pro...........

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.

If B’s investment for both the terms (4 months and 8 months) was swapped, then find the total profit share of B and C if annual profit is Rs 46,200.

Rs 45,600

Rs 32,800

Rs 43,600

Rs 37,800

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Explanation:

B’s investment for 8 months = 3x = 3*400 = Rs 1200 and for 4 months = 3y = 3*800 = Rs2400
Now swapped, means for 8 months = Rs 2400 and for 4 months is Rs 1200
So now ratio of A : B : C is
400*8 + 1600*4 : 2400*8 + 1200*4 : 800*8 + 3200*4
2 : 5 : 4
So required profit = (5+4)/(2+5+4) * 46200 = Rs 37,800

Hence, option 4 is the correct answer.