Question

The ratio of investments of two partners is 11 : 12 and the ratio of their profits is 2 : 3. if a invested the money for 8 months , find for how much timeb invested his money
1- 10 month
2- 11 month 
3- 9 month 
4- 8 month

Answer 1

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

Answer 2

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

$\frac{88}{12x} = \frac{2}{3}$

88*3=12x*2

24x=88*3

x=$\frac{88*3}{24}$

$x= 11$.

Option= B