Question
Nina and Sita invested Rs.7000 and Rs.5600 respectively
in a partnership. Nina invested for 9 months more than Sita. If the profit share of Sita is 30% less than that of Nina, find Sita’s investment period.Solution
Let the investment period of Sita = a Then Nina’s investment period = a + 9 The ratio of profit share of Nina to Sita = 100:(100 – 30) = 100:70 = 10:7 Investment ratio of Nina to Sita = 7000:5600 = 5:4 According to question, 5(a + 9)/4a = 10/7 35(a + 9) = 40a 35a + 315 = 40a 5a = 315 a = 63 The investment period of Sita = 63 months
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