If the respective investments in third quarter was changed and this was in ratio 2 4 1 other investm...........

Quantitative Aptitude ( CCS) Partnership

Directions : A, B and C started a business by investing Rs 800, Rs 1600 and Rs 2000 respectively. After a quarter they invested amounts in a ratio 1 : 4 : 2. After another quarter, they invested amounts in ratio 3 : 2 : 3.In the last quarter the ratio of investments was same as in 2^nd quarter. Also in the last quarter, the respective amounts of A, B and C was double than the respective amounts invested in 2^nd quarter. The total investment of C before 4^th quarter was Rs 1400 more than that of A during same duration. Also ratio of B’s share in profit to total profit at the end of year was 66 : 153.

If the respective investments in third quarter was changed and this was in ratio 2 : 4 : 1 (other investments being the same), then what would be the total investment of all three in third quarter, if the average investment of all A B and C was Rs 3100 for whole year?

Rs 700

Rs 800

Rs 500

Rs 900

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Explanation:

New investments – 3z, 2z, and 2z
Investment of A = (800+3x+2z), B = (1600+12x+4z) and C =(2000+6x+1z)
Put x = 200
A = 1400+2z, B = 4000+4z, C = 3200+1z
Now given (1400+2z + 4000+4z + 3200+1z)/3 = 3100
Solve, z = Rs 100
So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700

Hence, option 1 is the correct answer.