hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A dealer sold three-fifth of his goods at a gain of 25% and the remaining at cost price. What is his loss or gain percent in the whole transaction?
    Question

    A dealer sold three-fifth of his goods at a gain of 25% and the remaining at cost price. What is his loss or gain percent in the whole transaction?

    A.

    15% gain

    B.

    18% loss

    C.

    18% gain

    D.

    15% loss

    Correct option is A

    Given:

    A dealer sold three-fifty of his goods at a gain of 25% 

    the remaining at cost price. 

    Formula Used:

    Gain% = SPCPCP×100\frac{ SP - CP}{CP}\times 100

    Solution:

    Let the total cost price (C.P) be 100 unit.

    For 35\frac{3}{5} goods: Sold at a 25% gain, so

    C.P. for 35\frac{3}{5} = 35\frac{3}{5} × 100 = 60

    S.P = 60 + 25% of 60 = 60 + 15 = 75

    For 25\frac{2}{5} goods: Sold at cost price, so;

    S.P. = 25\frac{2}{5} ×100 = 40

    Total Selling price 75 + 40 = 115

    Total cost price = 100

    Overall gain 115 - 100 = 15

    Gain percentage = 15100\frac{15}{100} × 100 = 15%

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘RRB Group D’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow