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mediumQ. No. 4312-while-selling-rice-a-dealer-charges-for-1500-grams-but-gives-only-1320-grams-calculate-the-gain

While selling rice, a dealer charges for 1500 grams but gives only 1320 grams. Calculate the gain 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 “While selling rice, a dealer charges for 1500 grams but gives only 1320 grams. Calculate the gain percentage.”. It is designed for SSC, Railway, Banking, State examinations and other quantitative aptitude tests where accurate interpretation must accompany fast calculation.

A19.64%
B8.64%
C16.64%
D13.64%
Correct Answer: 19.64%Your Answer: A

Explanation

After comparing cost and selling values, the result is 19.64%. Profit = SP − CP, Loss = CP − SP, and the percentage is calculated on cost price. The question-specific working supplied in the record is: Gain% = ((Claimed weight − Actual weight) / Actual weight) × 100 = ((1500 − 1320) / 1320) × 100 = 13.64%. 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. The distractors 8.64%, 16.64%, 13.64% 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

  • Applicable method: Profit = SP − CP, Loss = CP − SP, and the percentage is calculated on cost price.
  • Question-specific working: Gain% = ((Claimed weight − Actual weight) / Actual weight) × 100 = ((1500 − 1320) / 1320) × 100 = 13.64%
  • 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?

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

What is the verified answer?

19.64%, option A.

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.

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