Question
The monthly income of Vivek and Sohan together is Rs.
46000. The income of Vivek and Sohan is increased by 20% and 30% respectively. The new income of Sohan is Rs. 4000 more than the new income of Vivek. What is the new income of Sohan?Solution
Let the income of Vivek be x. Sohan’s income = 46000 - x New income of Sohan = New income of Vivek + 4000 Vivek’s new income = x * 120/100 Sohan’s new income = (46000 – x)*130/100 (46000 – x)* (130/100) = x * (120/100) + 4000 => (5980000 – 130)/100 = (120/100) + 4000 => (5980000 – 130x) = (120x + 400000) => 5980000 – 400000 = 120x + 130x => 5580000 = 250 Vivek’s income x = (5580000 /250) = 22320 Sohan’s income = 46000 – x = 23680 New Income of Sohan = 23680*(130/100) = Rs. 30784
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