Discussion
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 44. What is the original number?
Answer: C
The original number is 80. Let the number be x. Increased by 25 per cent it becomes 1.25x, and decreased by 30 per cent it becomes 0.70x. The difference is \[1.25x - 0.70x = 0.55x = 44\] so x = 80. Check: 1.25 x 80 = 100 and 0.7 x 80 = 56, and 100 - 56 = 44. The other options give differences of 44.28 for 80.50 and 41.5 for 75.50, and 37.4 for 68, none of which equals 44. Taking the original price as 100, three changes give 100 x 0.88 x 0.85 x 1.25 = 93.5, so the final price is 93.5 per cent of the original. Dividing 233.75 by 0.935 yields 250. This is why the answers 200, 225 and 240 fail.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development