A number is increased by 20% and then decreased by 25%. The resulting number is 18 less than the original number. Find the original number. MCQ with Answer and Explanation

Let original = x. Net multiplier = 1.2 × 0.75 = 0.9. Result = 0.9x = x - 18 → 0.1x = 18 → x = 180. Wait, 0.9x = x - 18 → 0.1x = 18 → x = 180. But option 180 is A. Check: 180 × 1.2 = 216, 216 × 0.75 = 162, 180 - 162 = 18. So x=180. Set correct_answer A. But options: A 180, B 200, C 150, D 120. I'll set A. However, 200 would give 200×1.2=240, ×0.75=180, difference 20. So 180 is correct. I'll adjust options to have 180 as correct. No problem.