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Profit & Loss

SSC GD Exam Preparation - Quantitative Aptitude

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šŸ”¹ 1. Basic Terms

āœ” Cost Price (CP)

The price at which an article is purchased.

āœ” Selling Price (SP)

The price at which an article is sold.

āœ” Profit (Gain)

When SP > CP

Profit = SP - CP

āœ” Loss

When CP > SP

Loss = CP - SP

šŸ”¹ 2. Profit% and Loss%

Profit Percentage

Profit% = (Profit / CP) Ɨ 100

Loss Percentage

Loss% = (Loss / CP) Ɨ 100

šŸ”¹ 3. Selling Price (SP) Formulas

If Profit% = P

SP = CP Ɨ (1 + P/100)

If Loss% = L

SP = CP Ɨ (1 - L/100)

šŸ”¹ 4. Cost Price (CP) Formulas

If Profit% = P

CP = (SP Ɨ 100) / (100 + P)

If Loss% = L

CP = (SP Ɨ 100) / (100 - L)

šŸ”¹ 5. Marked Price (MP) & Discount

āœ” Discount (D)

Discount = MP - SP

Discount% = (Discount / MP) Ɨ 100

šŸ”¹ 6. Successive Profit/Loss

If two gains of a% and b%

Net Gain% = a + b + (aƗb)/100

If one gain a% and one loss b%

Net result = a - b - (aƗb)/100

šŸ”¹ 7. Important Short Tricks

āœ…

Selling at x% loss is same as buying at x% gain

āœ…

If article sold at loss% → same as CP Ɨ (100 - L)/100

āœ…

If article sold at profit% → same as CP Ɨ (100 + P)/100

🧠 Practice Section: 15 Profit & Loss Questions (With Answers)

Test your profit & loss concepts with these SSC GD level practice questions. Click on "View Answer" to check your understanding.

Q1. CP = ₹600, SP = ₹750. Find profit%.

View Answer

Profit = 150 → (150/600 Ɨ 100 = 25%)

Q2. SP = ₹480, Loss = 20%. Find CP.

View Answer

CP = (480 Ɨ 100)/80 = 600

Q3. A man buys a toy for ₹350 and sells for ₹420. Find gain%.

View Answer

Profit = 70 → (70/350 Ɨ 100 = 20%)

Q4. CP = ₹1200, Loss = 25%. Find SP.

View Answer

SP = 1200 Ɨ (1 - 25/100) = 900

Q5. SP = ₹880, Profit = 10%. Find CP.

View Answer

CP = (880 Ɨ 100)/110 = 800

Q6. MP = ₹1500, Discount = 20%. Find SP.

View Answer

Discount = 300 → SP = 1200

Q7. CP = ₹500. Sold at 12% loss. Find SP.

View Answer

SP = 500 Ɨ (1 - 0.12) = 440

Q8. SP = ₹720 after giving 10% discount. Find MP.

View Answer

MP = (720 Ɨ 100)/90 = 800

Q9. Two successive profits of 10% and 20%. Find net profit%.

View Answer

10 + 20 + (10Ɨ20)/100 = 32%

Q10. A trader sells an item at 25% gain. If CP = ₹640, find SP.

View Answer

SP = 640 Ɨ 1.25 = ₹800

Q11. A shopkeeper earns 15% profit after giving 10% discount on MP 1000. Find CP.

View Answer

SP = 900, CP = 900/1.15 = ₹782.60

Q12. CP of 20 pens = ₹200. Sold each pen at ₹15. Find profit%.

View Answer

SP total = 15 Ɨ 20 = 300, Profit = 100, Profit% = 100/200 Ɨ 100 = 50%

Q13. A shopkeeper faces 25% loss. If CP = ₹240, find SP.

View Answer

SP = 240 Ɨ 0.75 = ₹180

Q14. A man buys a phone at 8000 and sells at 7400. Find loss%.

View Answer

Loss = 600, Loss% = 600/8000 Ɨ 100 = 7.5%

Q15. After 20% discount, SP = ₹1040. Find MP.

View Answer

MP = (1040 Ɨ 100)/80 = 1300

āœ… SSC GD Exam Strategy

🟢 Memorize basic profit/loss formulas for quick calculations

🟢 Practice successive profit/loss scenarios

🟢 Master discount and marked price calculations

🟢 Learn to quickly find CP from SP and profit/loss%

🟢 Time yourself - aim for 45-60 seconds per profit & loss question

You've completed Profit & Loss Concepts!

SSC GD Tip: Profit & Loss is a frequently asked topic in the quantitative section. Focus on mastering the basic formulas for profit percentage, loss percentage, and the relationship between CP, SP, and MP. Remember to practice successive profit/loss scenarios and discount calculations as they are common in SSC exams. Regular practice with previous year SSC GD questions will build your speed and accuracy in solving profit & loss problems quickly.

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