Question : INR 21,000 is to be distributed between Raj and Karan such that Raj gets INR 9,000 less than Karan. What is the ratio of the amount received by Raj to that received by Karan?
Option 1: 2 : 5
Option 2: 3 : 5
Option 3: 5 : 3
Option 4: 5 : 2
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Correct Answer: 2 : 5
Solution : Let $x$ be the amount Karan gets. Total amount = 21000 Amount Raj gets = $x-9000$ So, $x + (x-9000) = 21000$ ⇒ $2x = 30000$ ⇒ $x = 15000$ ⇒ $x-9000 = 15000-9000 = 6000$ Required ratio = 6000 : 15000 = 6 : 15 = 2 : 5 Hence, the correct answer is 2 : 5.
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