The income of 'P' is Rs. ___ and the income of 'Q' is 25% more than that of 'P'. 'P' saves 40% of his income while 'Q' spends Rs. ___ more than the amount he saves. The sum of savings of 'P' and 'Q' is Rs. 15,000. The values given in which among the following options, will fill the blanks in the same order, so as to make the statement true?
I. 16000, 4000
II. 20000, 11000
III. 24000, 15000

From I: Income of 'Q' = 16000 X 1.25 = Rs. 20,000 Savings of 'P' = 16000 X 0.40 = Rs. 6,400 Let the savings of 'Q' = Rs. 'Y' Then expenses of 'Q' = Rs. (Y + 4000) So, Y + Y + 4000 = 20000 Or, 2Y + 4000 = 20000 Or, Y = (20000 - 4000) ÷ 2 = 8000 So, sum of savings of 'P' and 'Q' = 6400 + 8000 = Rs. 14,400 ≠ Rs. 15,000 So, statement I is false. From II: Income of 'Q' = 20000 X 1.25 = Rs. 25,000 Savings of 'P' = 20000 X 0.40 = Rs. 8,000 Let the savings of 'Q' = Rs. 'Y' Then, expenses of 'Q' = Rs. (Y + 11000) So, Y + Y + 11000 = 25000 Or, 2Y + 11000 = 25000 Or, Y = (25000 - 11000) ÷ 2 = 7000 So, sum of savings of 'P' and 'Q' = 8000 + 7000 = Rs. 15,000 So, statement II is true. From III: Income of 'Q' = 24000 X 1.25 = Rs. 30,000 Savings of 'P' = 24000 X 0.40 = Rs. 9,600 Let the savings of 'Q' = Rs. 'Y' Then, expense of 'Q' = (Y + 15000) So, Y + Y + 15000 = 30000 Or, 2Y + 15000 = 30000 Or, Y = (30000 - 15000) ÷ 2 = 7500 So, sum of savings of 'P' and 'Q' = 9600 + 7500 = Rs. 17,100 ≠ Rs. 15,000 So, statement III is false. Hence, option b