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Profit and Loss Questions and Answers – Page 57

Profit and Loss is one of the most important and scoring topics in Quantitative Aptitude for competitive exams such as SSC CGL, SSC CHSL, IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RRB NTPC, and other banking and government job examinations. This topic deals with fundamental commercial mathematics concepts such as cost price, selling price, marked price, discount, profit, and loss, all of which are calculated using simple percentage-based formulas. Profit is calculated as Selling Price minus Cost Price when the selling price is higher, while loss occurs when the cost price exceeds the selling price. A strong grasp of profit and loss concepts is essential because this topic frequently overlaps with percentage, ratio and proportion, and simple and compound interest questions in competitive exams. This topic page provides an extensive collection of profit and loss questions with detailed, step-by-step solutions to help aspirants improve both accuracy and calculation speed. The practice questions cover all important variations including single and successive discounts, marked price and discount problems, profit and loss percentage calculations, cost price and selling price relationships, and problems involving false weights or dishonest dealers. Each question includes clear explanations along with shortcut formulas that help you solve profit and loss problems quickly, which is crucial given the strict time limits in competitive exams. Aspirants preparing for SSC, banking, and railway exams often find profit and loss questions challenging when multiple discounts or marked price scenarios are combined. Our practice set addresses these difficulties through clear worked examples, quick calculation tricks, and formula-based shortcuts for successive discounts, profit percentage on cost price versus selling price, and discount equivalence. Regular practice with these questions will strengthen your overall Quantitative Aptitude preparation and improve your speed and accuracy in solving commercial mathematics problems. Whether you are a beginner starting your preparation journey or an experienced aspirant refining your exam strategy, this profit and loss question bank is designed to support learners at every level. Practice consistently, review the shortcut methods provided, and apply them to solve profit and loss questions accurately and quickly in your upcoming SSC, banking, railway, and other competitive government examinations.

Exams Covered:

SSC CGL
SSC CHSL
SSC MTS
IBPS PO
IBPS Clerk
RRB NTPC
UPSC
State Exams
& More

While selling raisins, a dealer charges for 1250 grams but gives only 1220 grams. Calculate the gain percentage.

A dishonest seller takes money for 1250 g of beans and delivers only 1225 g. What percentage gain does he make?

A dishonest shopkeeper claims to sell 1500 grams of oil but actually gives only 1300 grams. Find the gain percentage.

A shopkeeper labels a packet of raisins as 250 grams, but the packet contains only 225 grams. Find the gain percent.

A shopkeeper labels a packet of soap as 750 grams, but the packet contains only 650 grams. Find the gain percent.

A trader says he is giving 2000 g of coffee, but the actual weight is only 1820 g. What is his gain percentage?

While selling salt, a dealer charges for 1000 grams but gives only 925 grams. Calculate the gain percentage.

A trader says he is giving 2000 g of spices, but the actual weight is only 1800 g. What is his gain percentage?

A dishonest seller takes money for 1250 g of detergent and delivers only 1230 g. What percentage gain does he make?

A shopkeeper labels a packet of ghee as 250 grams, but the packet contains only 190 grams. Find the gain percent.

FAQ

Profit & Loss FAQs

Common questions and clear answers for this topic.

What is Profit and Loss in mathematics and what are the basic terms?

Profit and Loss is a key Quantitative Aptitude topic in SSC CGL, IBPS Bank PO, SBI PO, CAT, and Railway exams. Basic terms: Cost Price (CP) - price at which an item is purchased. Selling Price (SP) - price at which it is sold. Profit = SP - CP (when SP > CP). Loss = CP - SP (when CP > SP). Profit% = (Profit/CP) x 100. Loss% = (Loss/CP) x 100.

What is the difference between Marked Price, Selling Price, and Discount?

Marked Price (MP) is the price printed on the item before discount. Discount = MP - SP. Discount% = (Discount/MP) x 100. SP = MP x (100-Discount%)/100. If a shopkeeper marks up by 40% and gives 20% discount: SP = CP x 1.40 x 0.80 = 1.12CP = 12% profit. Profit% and Loss% are always calculated on Cost Price unless specified otherwise.

How to solve Successive Discount problems?

When two successive discounts of a% and b% are given, the effective single discount = a + b - (ab/100). Example: Two discounts of 20% and 10%: Effective discount = 20 + 10 - (20x10/100) = 30 - 2 = 28%. For three discounts: apply the formula twice. Three discounts of 10% each is NOT 30% total but approximately 27.1%. These problems frequently appear in banking exams.

What is the concept of Dishonest Dealer in Profit and Loss?

A dishonest dealer uses a false weight to make extra profit. If a dealer uses 800g instead of 1000g and claims to sell at cost price, profit% = (200/800) x 100 = 25%. Formula: Profit% = Error/(True weight - Error) x 100. If he also adds a markup percentage on top, calculate both profits separately and combine them.

What are the shortcut formulas for Profit and Loss calculations?

Key Profit and Loss shortcuts: CP when profit% known: CP = SP x 100/(100+P%). CP when loss% known: CP = SP x 100/(100-L%). If article sold at 2/3 of original price gives x% loss: original price = SP x (100/(100-x)). For two articles at same SP, one at x% profit and other at x% loss: always results in x squared/100% loss overall. Memorize these for exam speed.

Which method applies to this question?

Profit = SP − CP, Loss = CP − SP, and the percentage is calculated on cost price.

What is the verified answer?

10.46%, option C.

Which percentage base is most important?

Profit or loss percent is based on cost price, while discount is based on marked price.

How can the answer be checked?

Reverse the percentage relation or assume a base of 100 and reconstruct the final value.

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