hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease p
    Question

    A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?

    A.

    10% increase

    B.

    9% decrease

    C.

    10% decrease

    D.

    9% increase

    Correct option is B

    Given:
    A number is increased by 12%, then by 23%, and finally decreased by 34%.
    Solution:
    Let the original number be 100.

    The number is first increased by 12%.

    New number after 12% increase = 100 + 12% of 100 = 100 + 12 = 112.

    The new number is now increased by 23%.

    New number after 23% increase = 112 + 23% of 112 = 112 + 25.76 = 137.76.

    Now, the number is decreased by 34%.

    New number after 34% decrease = 137.76 - 34% of 137.76 = 137.76 - 46.8544 = 90.9056.

    The original number was 100, and the final number is 90.9056.

    Net change = 90.9056 - 100 = -9.0944.

    Net percentage change = (Net change)(Original number)×100\frac{(Net \ change) }{ (Original \ number)}\times 100​​

    Net percentage change = (9.0944100)×100(\frac{-9.0944 }{ 100}) \times 100​ = -9.0944%.

    The net decrease percentage is approximately -9%.

    Free Tests

    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD Constable Exam Day Based Mock 1

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Mathematics Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon25 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘SSC CGL Tier I’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    446k+ students have already unlocked exclusive benefits with Test Prime!

    Similar Questions

    Our Plans
    Monthsup-arrow