Let Uma's time period of investment be 'u' months and Prajakta's time period of investment be 'p' months.
From I:
Uma, and Prajakta started the business with investment of Rs. 54000 and Rs. 36000, respectively. The profit earned by Uma is 75% of the profit earned by Prajakta.
Ratio of their investment = 54000 * u: 36000 * p
=> 3u/2p = 75/100
=> u/p = 3/4 * 2/3
=> u/p = 1/2
From this data we cannot find the answer.
From II:
Uma, and Prajakta started the business with investment in the ratio of 8: 7 and they earned profit Rs. 90000 and Rs. 48000, respectively.
So, ratio of their investment = 8u : 7p
=> 8u/7p = 90000/48000
=> u/p = 105/64
From this data we cannot find the answer.
From I and II:
From statement I and II, we get same ratio of u and p.
So, both statement I and II together are not sufficient.
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