Answer :
Product of investment and time is proportional to profit.
Therefore, (11)(8)/[(12)(x)] = 2/3 then x=11. Hence the answer is option 2. 11 months
Suppose A invested Rs.11 for 8 months and B invested Rs.12 for x months
Therefore, ratio of investments of A and B=11*8:12*x=88:12x
Given ratio=2:3
According, to problem,
88:12x=2:3
[tex] \frac{88}{12x} = \frac{2}{3} [/tex]
88*3=12x*2
24x=88*3
x=[tex] \frac{88*3}{24} [/tex]
[tex]x= 11[/tex].
Option= B
Therefore, ratio of investments of A and B=11*8:12*x=88:12x
Given ratio=2:3
According, to problem,
88:12x=2:3
[tex] \frac{88}{12x} = \frac{2}{3} [/tex]
88*3=12x*2
24x=88*3
x=[tex] \frac{88*3}{24} [/tex]
[tex]x= 11[/tex].
Option= B