Quantity I A and B together started a business with an investment of Rs 2400 and Rs 3600 resp After ...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: A and B together started a business with an investment of Rs.2400 and Rs.3600 resp. After ‘x’ months, C joined them with an investment of Rs. 3000. If a year, B received Rs.2700 out of total profit of Rs.6000, find x.

Quantity II: P and S together started a business with total investment of Rs. 4500 in the ratio of investment 5:x resp. If after a year, S received Rs. 3200 as profit out of a total profit of Rs. 7200, find x.

I >= II

I = II or No relation

I < II

I > II

I =< II

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Explanation:

From I: Ratio of investments of A:B:C = 2400:3600:3000
= 4:6:5
Ratio of profit share of A:B:C = 4*12:6*12:5*(12-x) = 48:72:5(12-x)
Now, 72/[48+72+5(12-x)] = 2700/6000 = 9/20
=> x = 4
From II: x/(5+x) = 3200/7200
=> x = 4
I = II

Hence, option 2 is the correct answer.