If Aman and Bhanu together earn Rs. ___ per month, and their incomes increase by 25% and 12.5% respectively, Bhanu's new income becomes Rs. ___, which is 32% more than Aman's new income. Which of the following options can fill in the blanks?
I. Rs. 14800, Rs. 9900
II. Rs. 11840, Rs. 7920
III. Rs. 9520, Rs. 6860
IV. Rs. 8880, Rs. 5940
V. None of these

Solution

ATQ, Increased Income of Bhanu = Rs.'b' Increased Income of Aman = Rs.b/1.32 Total Initial Income of Aman & Bhanu = b/(1.32 × 1.25) + b/1.125 = b/1.65 + b/1.125 = 20b/33 + 8b/9 = 148b/99 Option I,  b = Rs.9900 Total Initial Income of Aman & Bhanu = 148/99 × 9900 = Rs.14800 Hence, Option I is correct. Option II,  b = Rs.7920 Total Initial Income of Aman & Bhanu = 148/99 × 7920 = Rs.11840 Hence, Option II is correct. Option III,  b = Rs.6860 Total Initial Income of Aman & Bhanu = 148/99 × 6860 = Rs.10255.35 Hence, Option III is incorrect. Option IV,  b = Rs.5940 Total Initial Income of Aman & Bhanu = 148/99 × 5940 = Rs.8880 Hence, Only I, II and IV can fill the blanks