SSC JE Exam  >  SSC JE Questions  >  If the price of a book is the first increased... Start Learning for Free
If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?
  • a)
    No change
  • b)
    4% increase
  • c)
    4% decrease
  • d)
    10% decrease
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the price of a book is the first increased by 20% and then decrease...
Short Trick:
Net percentage change = 20 – 20 + 20 × (-20)/100 = -4%
∴ There is a decrease of 4%.
Detailed solution:
Let the original price of the book be Rs x.
∴ After increase of 20% in price
⇒ x + [x × (20/100)] = Rs 1.2x
∴ After decrease of 20% in price
⇒ 1.2x – [1.2x × (20/100)] = 0.96x
∴ Net decrease in the price of book
⇒ [(x – 0.96x)/x] × 100% = 4%
∴ Price of the book is decreased 4%.
View all questions of this test
Most Upvoted Answer
If the price of a book is the first increased by 20% and then decrease...
Problem:
If the price of a book is first increased by 20% and then decreased by 20%, what is the net change in the price of the book?

Solution:
To find the net change in the price of the book, we need to calculate the final price after the two changes and compare it to the original price.

Step 1: Increase the price by 20%:
To increase the price of the book by 20%, we multiply the original price by 1 + 20% (or 0.2):

Increased price = Original price * (1 + 0.2)

Step 2: Decrease the price by 20%:
To decrease the price of the book by 20%, we multiply the increased price by 1 - 20% (or 0.2):

Final price = Increased price * (1 - 0.2)

Step 3: Calculate the net change:
To find the net change, we need to compare the final price to the original price:

Net change = (Final price - Original price) / Original price * 100%

Now let's calculate the net change in the price of the book.

Original price: Let's assume the original price of the book is $100.

Step 1: Increase the price by 20%:
Increased price = $100 * (1 + 0.2) = $120

Step 2: Decrease the price by 20%:
Final price = $120 * (1 - 0.2) = $96

Step 3: Calculate the net change:
Net change = ($96 - $100) / $100 * 100% = -$4 / $100 * 100% = -4%

The net change in the price of the book is a 4% decrease. Therefore, the correct answer is option C: 4% decrease.
Explore Courses for SSC JE exam
If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer?
Question Description
If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? for SSC JE 2024 is part of SSC JE preparation. The Question and answers have been prepared according to the SSC JE exam syllabus. Information about If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC JE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC JE. Download more important topics, notes, lectures and mock test series for SSC JE Exam by signing up for free.
Here you can find the meaning of If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the price of a book is the first increased by 20% and then decreased by 20%. What is the net change in the price of the book?a)No changeb)4% increasec)4% decreased)10% decreaseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC JE tests.
Explore Courses for SSC JE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!