Subject
Quantitative Aptitude
Topic
Percentage
The fee for a course was increased by x percent from that of the previous year. Arif, a meritorious student, got y percent waiver on his course fee for his extra-ordinary performance. If the fee collected from Arif is 60% of the course fee of the previous year, what is the value of y in terms of x?
The fee for a course was increased by x percent from that of the previous year. Arif, a meritorious student, got y percent waiver on his course fee for his extra-ordinary performance. If the fee collected from Arif is 60% of the course fee of the previous year, what is the value of y in terms of x?
ক)
x + 40খ)
100(x + 40)/(x + 100)গ)
60x + 10ঘ)
(x + 60)/(x + 100)ঙ)
NoneExplanation
ধরি, গত বছরের কোর্স ফি = 100 টাকা বর্তমান বছরের কোর্স ফি = 100 + (x/100)*100 = (100 + x) টাকা আরিফের প্রদেয় ফি = (100 + x) - (y/100)*(100 + x) = (100 + x)(1 - y/100) টাকা প্রশ্নানুযায়ী, আরিফের প্রদেয় ফি = গত বছরের কোর্স ফির 60% ⇒ (100 + x)(1 - y/100) = 100 * (60/100) ⇒ (100 + x)(1 - y/100) = 60 ⇒ (100 + x) = 60 / (1 - y/100) ⇒ (100 + x) = 60 * (100 / (100 - y)) ⇒ (100 + x) = 6000 / (100 - y) ⇒ 100 - y = 6000 / (100 + x) ⇒ y = 100 - (6000 / (100 + x)) ⇒ y = (100*(100 + x) - 6000) / (100 + x) ⇒ y = (100x + 10000 - 6000) / (100 + x) ⇒ y = (100x + 4000) / (100 + x) ⇒ y = 100 * (x + 40) / (100 + x) সুতরাং, y এর মান x এর পরিপ্রেক্ষিতে হলো 100 * (x + 40) / (100 + x)Related questions
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