In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.   Quantity I: The monthly income of Yash and Rohit together is Rs. 52000. The income of Yash and Rohit is increased by 25% and 15% respectively. The new income of Rohit is Rs. 2200 more than the new income of Yash. What is the new income of Rohit? Quantity II: 16% of monthly salary of D is equal to 20% of monthly salary of E and 20% of monthly salary of E is equal to 25% of monthly salary of F. If F’s monthly income is Rs. 28000, then the total income of D?  

Solution

Quantity I: Let the income of Yash be x. Rohit’s income = 52000 - x New income of Rohit = New income of Yash + 2200 Yash’s new income = x * 125/100 Rohit’s new income = (52000 – x)*115/100 (52000 – x)* (115/100) = x * (125/100) + 2200 => (5980000 – 115)/100 = (125/100) + 2200 => (5980000 – 115x) = (125x + 220000) => 5980000 – 220000 = 115x + 125x => 5760000 = 240 Yash’s income X = (5760000 /240) = 24000 Rohit’s income = 52000 – x = 28000 New Income of Rohit = 28000*(115/100) = Rs. 32200 Quantity II: 16D/100 = 20E/100 So, 4D = 5E 20E/100 = 25F/100 4E = 5F E = (5   28000)/4 = 35000 4D = 5E = (5   35000)/4 = Rs. 43750 Quantity I < Quantity II