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A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If
the price of student computers increased by 20% this year, then the number of computers it can purchase
this year is what percent greater than the number of computers it purchased last year?
the price of student computers increased by 20% this year, then the number of computers it can purchase
this year is what percent greater than the number of computers it purchased last year?
- a)33.33%
- b)40%
- c)42%
- d)48%
- e)60%
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A school’s annual budget for the purchase of student computers i...
Let’s denote the formula for the money spent on computers as pq = b, where
p = price of computers
q = quantity of computers
b = budget
p = price of computers
q = quantity of computers
b = budget
We can solve a percent question that doesn’t involve actual values by using smart numbers. Let’s assign a smart number of 1000 to last year’s computer budget (b) and a smart number 100 to last year’s computer price (p). 1000 and 100 are easy numbers to take a percent of.
This year’s budget will equal 1000 × 1.6 = 1600
This year’s computer price will equal 100 × 1.2 = 120
This year’s computer price will equal 100 × 1.2 = 120
Now we can calculate the number of computers purchased each year, q = b/p
Number of computers purchased last year = 1000/100 = 10
Number of computers purchased this year = 1600/120 = 13 1/3 (while 1/3 of a computer doesn’t make sense it won’t affect the calculation)
The question is asking for the percent increase in quantity from last year to this year =
Number of computers purchased last year = 1000/100 = 10
Number of computers purchased this year = 1600/120 = 13 1/3 (while 1/3 of a computer doesn’t make sense it won’t affect the calculation)
The question is asking for the percent increase in quantity from last year to this year =
This question could also have been solved algebraically by converting the percent increases into fractions.
Last year: pq = b, so q = b/p
This year: (6/5)(p)(x) = (8/5)b
If we solve for x (this year's quantity), we get x = (8/5)(5/6)b/p or (4/3)b/p
If this year's quantity is 4/3 of last year's quantity (b/p), this represents a 33 1/3% increase.
This year: (6/5)(p)(x) = (8/5)b
If we solve for x (this year's quantity), we get x = (8/5)(5/6)b/p or (4/3)b/p
If this year's quantity is 4/3 of last year's quantity (b/p), this represents a 33 1/3% increase.
The correct answer is A
Most Upvoted Answer
A school’s annual budget for the purchase of student computers i...
A school is an educational institution where students go to learn and acquire knowledge. It is typically divided into different levels, such as elementary, middle, and high school, and offers a structured curriculum designed to meet the academic, social, and emotional needs of students.
Schools provide a variety of subjects taught by qualified teachers, including math, science, language arts, social studies, and physical education. They also often offer extracurricular activities such as sports, clubs, and arts programs to enhance students' learning experiences and encourage their personal growth.
The primary goal of a school is to provide a safe and nurturing environment for students to develop their intellectual abilities, critical thinking skills, and social interactions. Schools play a crucial role in shaping the future of individuals and society by preparing students for higher education or the workforce.
In addition to academics, schools also promote character development, ethical behavior, and civic responsibility. They teach values such as respect, empathy, and teamwork, preparing students to become responsible and contributing members of society.
Schools may vary in size, structure, and educational approach, with some focusing on specific areas such as science, technology, engineering, and mathematics (STEM), while others emphasize arts or vocational training. However, their core purpose remains the same: to provide a quality education and empower students with the knowledge and skills they need to succeed in life.
Schools provide a variety of subjects taught by qualified teachers, including math, science, language arts, social studies, and physical education. They also often offer extracurricular activities such as sports, clubs, and arts programs to enhance students' learning experiences and encourage their personal growth.
The primary goal of a school is to provide a safe and nurturing environment for students to develop their intellectual abilities, critical thinking skills, and social interactions. Schools play a crucial role in shaping the future of individuals and society by preparing students for higher education or the workforce.
In addition to academics, schools also promote character development, ethical behavior, and civic responsibility. They teach values such as respect, empathy, and teamwork, preparing students to become responsible and contributing members of society.
Schools may vary in size, structure, and educational approach, with some focusing on specific areas such as science, technology, engineering, and mathematics (STEM), while others emphasize arts or vocational training. However, their core purpose remains the same: to provide a quality education and empower students with the knowledge and skills they need to succeed in life.
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A school’s annual budget for the purchase of student computers increased by 60% this year over last year. Ifthe price of student computers increased by 20% this year, then the number of computers it can purchasethis year is what percent greater than the number of computers it purchased last year?a)33.33%b)40%c)42%d)48%e)60%Correct answer is option 'A'. Can you explain this answer?
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A school’s annual budget for the purchase of student computers increased by 60% this year over last year. Ifthe price of student computers increased by 20% this year, then the number of computers it can purchasethis year is what percent greater than the number of computers it purchased last year?a)33.33%b)40%c)42%d)48%e)60%Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A school’s annual budget for the purchase of student computers increased by 60% this year over last year. Ifthe price of student computers increased by 20% this year, then the number of computers it can purchasethis year is what percent greater than the number of computers it purchased last year?a)33.33%b)40%c)42%d)48%e)60%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school’s annual budget for the purchase of student computers increased by 60% this year over last year. Ifthe price of student computers increased by 20% this year, then the number of computers it can purchasethis year is what percent greater than the number of computers it purchased last year?a)33.33%b)40%c)42%d)48%e)60%Correct answer is option 'A'. Can you explain this answer?.
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