Subject
Quantitative Aptitude
Topic
Percentage
After two consecutive equal percentage increases, a salary of 30,000 Tk. becomes 43,200 Tk. What was the percentage increase each time?
After two consecutive equal percentage increases, a salary of 30,000 Tk. becomes 43,200 Tk. What was the percentage increase each time?
ক)
15%খ)
18%গ)
20%ঘ)
25%Explanation
ধরি, প্রতিবার বৃদ্ধির হার = x% প্রথম বৃদ্ধির পর বেতন = ৩০,০০০ + ৩০,০০০ × (x/100) = ৩০,০০০(1 + x/100) দ্বিতীয় বৃদ্ধির পর বেতন = ৩০,০০০(1 + x/100) + ৩০,০০০(1 + x/100) × (x/100) = ৩০,০০০(1 + x/100)(1 + x/100) = ৩০,০০০(1 + x/100)² সুতরাং, ৩০,০০০(1 + x/100)² = ৪৩,২০০ বা, (1 + x/100)² = ৪৩,২০০/৩০,০০০ = 1.44 বা, 1 + x/100 = √1.44 = 1.2 বা, x/100 = 1.2 - 1 = 0.2 বা, x = 20Related questions
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