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?

A Rs. 23000 Correct Answer Incorrect Answer
B Rs. 30784 Correct Answer Incorrect Answer
C Rs. 28942 Correct Answer Incorrect Answer
D Rs. 32568 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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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