A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A?s investment was 7 months, B invested the money for :
1). 6 months
2). 2 1/2 months
3). 10 months
4). 4 months
Let B invested the money for = $x$ months
=> Ratio of investments of A : B = $(5 \times 7) : (7 \times x)$
= $5 : x$
Acc to ques
=> $\frac{5}{x} = \frac{1}{2}$
=> $x = 5 \times 2 = 10$ months
Let B invested the money for = $x$ months
=> Ratio of investments of A : B = $(5 \times 7) : (7 \times x)$
= $5 : x$
Acc to ques
=> $\frac{5}{x} = \frac{1}{2}$
=> $x = 5 \times 2 = 10$ months