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Pranav, Raj and Santosh entered into a partnership with a sum of Rs 6,200, Rs 9,300 and Rs 12,400 respectively. It was decided that Pranav will manage the business for the whole year. But after some months due to some personal problems Pranav handed over his responsibility of managing the business to Raj for the rest of the year. The person who manages the business gets 10% of the profit as commission. If the total income of Pranav at the end of the year is Rs 290 and the total profit is Rs 1,200, for how many months did Pranav manage the business?