SSC CGL & Banking · Quantitative Aptitude

Profit & Loss

6 practice questions with full step-by-step solutions, plus a concept-first explainer — free, no sign-up.

Read the explainer · 7 minPractise · 6 questions

What you'll learn

Cost price, selling price, and every profit/loss formula explained with a chai-shop analogy and shortcuts.

Read Profit & Loss — The Complete Basics

This chapter has

2
easy
2
medium
2
hard

Profit & Loss — solved practice questions

6 SSC / Banking Quantitative Aptitude questions with step-by-step solutions. Attempt each, then reveal the answer.

  1. Q1easy

    A shopkeeper buys a watch for ₹800 and sells it at a profit of 25%. What is the selling price?

    • A₹950
    • B₹1000
    • C₹1025
    • D₹900
    Show answer & solution

    Correct answer: (B) ₹1000

    SP = CP × (100 + Profit%)/100 = 800 × 125/100 = ₹1000. Shortcut: 25% of 800 = 200, so SP = 800 + 200 = ₹1000.

  2. Q2easy

    A book is bought for ₹500 and sold for ₹450. What is the loss percentage?

    • A9%
    • B10%
    • C11%
    • D12%
    Show answer & solution

    Correct answer: (B) 10%

    Loss = CP − SP = 500 − 450 = ₹50. Loss% = (Loss/CP) × 100 = (50/500) × 100 = 10%. (Loss% is always calculated on Cost Price.)

  3. Q3medium

    An article is sold for ₹575 at a profit of 15%. What is its cost price?

    • A₹490
    • B₹500
    • C₹510
    • D₹525
    Show answer & solution

    Correct answer: (B) ₹500

    CP = SP × 100/(100 + Profit%) = 575 × 100/115 = ₹500. Check: 15% of 500 = 75, and 500 + 75 = ₹575. ✓

  4. Q4hard

    By selling 33 metres of cloth, a shopkeeper gains the selling price of 11 metres. Find the gain percent.

    • A33⅓%
    • B40%
    • C50%
    • D60%
    Show answer & solution

    Correct answer: (C) 50%

    Gain = SP of 11 m. So CP of 33 m = SP of (33 − 11) = 22 m. Gain% = (gain/CP) × 100 = (11/22) × 100 = 50%.

  5. Q5medium

    A man buys an article for ₹27.50 and sells it for ₹28.60. What is his gain percent?

    • A3%
    • B4%
    • C4.5%
    • D5%
    Show answer & solution

    Correct answer: (B) 4%

    Gain = 28.60 − 27.50 = ₹1.10. Gain% = (1.10/27.50) × 100 = 4%.

  6. Q6hard

    If the selling price of an article is doubled, the profit triples. Find the profit percentage.

    • A50%
    • B75%
    • C100%
    • D150%
    Show answer & solution

    Correct answer: (C) 100%

    Let CP = x and SP = s, so profit = s − x. Doubling SP: 2s − x = 3(s − x) → 2s − x = 3s − 3x → 2x = s. Profit = s − x = 2x − x = x. Profit% = (x/x) × 100 = 100%.

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