The income of 'A' is Rs. ___ and the income of 'B' is 30% more than that of 'A'. 'A' saves 45% of his income while 'B' spends Rs. ___ more than the amount he saves. The sum of savings of 'A' and 'B' is Rs. 18,000. 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. 20000, 8000
II. 16000, 2400
III. 24000, 13600

From I: Income of 'B' = 20000 X 1.3 = Rs. 26,000 Savings of 'A' = 20000 X 0.45 = Rs. 9,000 Let the savings of 'B' = Rs. 'Y' Then expenses of 'B' = Rs. (Y + 8000) So, Y + Y + 8000 = 26000 Or, 2Y + 8000 = 26000 Or, Y = (26000 - 8000) ÷ 2 = 9000 So, sum of savings of 'A' and 'B' = 9000 + 9000 = Rs. 18,000 So, statement I is true. From II: Income of 'B' = 16000 X 1.3 = Rs. 20,800 Savings of 'A' = 16000 X 0.45 = Rs. 7,200 Let the savings of 'B' = Rs. 'Y' Then, expenses of 'B' = Rs. (Y + 2400) So, Y + Y + 2400 = 20800 Or, 2Y + 2400 = 20800 Or, Y = (20800 - 2400) ÷ 2 = 9200 So, sum of savings of 'A' and 'B' = 7200 + 9200 = Rs. 16,400 ≠ Rs. 18,000 So, statement II is false. From III: Income of 'B' = 24000 X 1.3 = Rs. 31,200 Savings of 'A' = 24000 X 0.45 = Rs. 10,800 Let the savings of 'B' = Rs. 'Y' Then, expense of 'B' = (Y + 13600) So, Y + Y + 13600 = 31200 Or, 2Y + 13600 = 31200 Or, Y = (31200 - 13600) ÷ 2 = 8800 So, sum of savings of 'A' and 'B' = 10800 + 8800 = Rs. 19,600 ≠ Rs. 18,000 So, statement III is false. Hence, option e.