A and B started a work in partnership with a total initial investment of Rs 7000 After 3 months C jo...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

A and B started a work in partnership with a total initial investment of Rs.7000. After 3 months, C joined them with an investment of Rs.3500. If after a year, B received Rs.5950 as profit out of the total profit of Rs.13750 and it was decided that B will be given 20% of the total profit for taking care of the work and remaining profit will be distributed according to their

investments.

Quantity I: Find the initial investment of B.

Quantity II: Find the inital investment of A.

I = II

I < II

I >=II

I > II

I =< II

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Explanation:

Let the initial investment of B be Rs.x.
So, initial investment of A = Rs.(7000-x)
Ratio of investment A:B:C = (7000-x):x:3500
Ratio of profit share A:B:C = (7000-x)*12 : 12x : 3500*9
= 4(7000-x):4x:10500
Profit received by B for taking care of the work = 0.2*13750 = Rs.2750
Remaining Profit = 13750 – 2750 = Rs.11000
4x/{4*(7000-x) + 4x + 10500} = (5950 – 2750)/11000
=> x = 2800
From I: Initial investment of B = Rs.2800
From II: Initial investment of A = Rs.4200
I < II

Hence, option 2 is the correct answer.