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easyQ. No. 4803-a-trader-sells-two-pen-sets-for-equal-selling-prices-on-one-he-makes-18-profit-and-on-the-other-18

A trader sells two pen sets for equal selling prices. On one he makes 18% profit and on the other 18% loss. What is the net loss percentage?

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This Profit and Loss question develops correct identification of cost price, selling price, marked price, discount and the relevant percentage base in “A trader sells two pen sets for equal selling prices. On one he makes 18% profit and on the other 18% loss. What is the net loss percentage?”. The worked explanation retains the original numerical relationship, verifies 3.24% Loss, and distinguishes common traps such as reversing CP and SP, adding successive rates or confusing discount with loss. It is designed for SSC, Railway, Banking, State examinations and other quantitative aptitude tests where accurate interpretation must accompany fast calculation.

A5.24% Loss
B3.24% Loss
C4.24% Loss
D2.24% Loss
Correct Answer: 3.24% LossYour Answer: B

Explanation

Correct percentage analysis gives 3.24% Loss, corresponding to option B. Apply the profit or loss multiplier to cost price: SP = CP(1 ± rate/100). The question-specific working supplied in the record is: This Profit and Loss solved example uses the equal selling price shortcut trick: when one item gains 18% and the other loses 18%, the combined result is always a loss. The step-by-step formula is net loss percentage = (18/10)² = 3.24%. Equal gain and loss percentages do not cancel because the two cost prices are different even though the selling prices are equal. Taking the same selling price for both items and comparing their cost prices confirms the 3.24% loss. Therefore, the net result is 3.24% loss, matching option C.. Profit and loss questions become unreliable when a percentage is applied to the wrong base. Profit or loss percent uses cost price, while discount percent uses marked price. If several changes occur, convert each change into a multiplier and apply them in order. The distractors 5.24% Loss, 4.24% Loss, 2.24% Loss can result from interchanging cost price and selling price, treating discount as loss, adding successive rates, ignoring quantity, or rounding before the final step. A dependable check is to assume cost price 100 whenever only percentages are involved, reconstruct the selling value, and compare the resulting ratio with the selected option. Also verify direction: profit requires selling price above cost price, whereas loss requires it below cost price. This method preserves the numerical relationships in the stem and develops formula selection, percentage-base recognition and option elimination for SSC, Railway, Banking and other competitive aptitude examinations.

Important Notes

  • Correct answer: 3.24% Loss; option B, zero-based index
  • Applicable method: Apply the profit or loss multiplier to cost price: SP = CP(1 ± rate/100).
  • Profit/loss percentage uses cost price; discount percentage uses marked price.

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FAQ

Profit and Loss FAQs

Common questions and clear answers for this topic.

Which method applies to this question?

Apply the profit or loss multiplier to cost price: SP = CP(1 ± rate/100).

What is the verified answer?

3.24% Loss, option B.

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.

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.

A trader sells two pen sets... | Profit and Loss MCQ | Exambodh