# 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 time b invested his money1- 10 month2- 11 month 3- 9 month 4- 8 month.

2
by lokeshagrawal88

2014-11-14T21:54:47+05:30
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
2014-11-16T23:09:21+05:30

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Investments amounts are  11 x  and  12 x respectively.

Investment durations are 8 months and   y months respectively.

profit is proportional to the investment amount and duration of investment.

Hence,      12x * y :  11x * 8   =  3 : 2

12 y * 2 = 11 * 8 * 3

y = 11 months

So B invested for 11 months.        Option 2.