Practice Questions
Concept Explanation
When two discounts d₁% and d₂% are applied one after another on MP:
SP = MP × (1 − d₁/100) × (1 − d₂/100)
Equivalent single discount = d₁ + d₂ − (d₁ × d₂)/100
Example: 10% and 20% → equivalent = 10 + 20 − 2 = 28%.
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Q1 EasySuccessive discounts of 20% and 10% are equivalent to a single discount of:ExplanationEquivalent single discount = 20 + 10 − (20 × 10)/100 = 30 − 2 = 28%.
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Q2 EasySuccessive discounts of 10% and 20% are equivalent to a single discount of:ExplanationEquivalent single discount = 10 + 20 − (10 × 20)/100 = 30 − 2 = 28%. Order does not change the result.
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Q3 EasyThe marked price of an article was Rs. 1,000. After allowing two successive discounts of 10% each, the selling price is:ExplanationSP = 1000 × 0.90 × 0.90 = Rs. 810.
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Q4 MediumThe marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first of 10%. What was the second discount rate?ExplanationAfter first discount: 720 × 0.90 = Rs. 648. Second discount = (648 − 550.80)/648 × 100 = 97.2/648 × 100 = 15%.
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Q5 MediumTwo successive discounts of 25% each are equivalent to a single discount of:ExplanationEquivalent = 25 + 25 − (25 × 25)/100 = 50 − 6.25 = 43.75%.
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Q6 MediumSuccessive discounts of 15% and 15% are equivalent to a single discount of:ExplanationEquivalent = 15 + 15 − (15 × 15)/100 = 30 − 2.25 = 27.75%.
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Q7 MediumAn article with a marked price of Rs. 500 is subjected to successive discounts of 20% and 10%. What is the final selling price after both discounts are applied?ExplanationSP = 500 × 0.80 × 0.90 = Rs. 360.
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Q8 MediumOn the same marked price, which offer gives the customer a lower selling price: successive discounts of 20% and 10%, or a single flat discount of 30%?ExplanationSuccessive 20% and 10% equals 28% off. A single 30% discount is deeper, so the selling price is lower.
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Q9 MediumAn article marked at Rs. 800 is sold after successive discounts of 15% and 5% are applied one after the other. What is the selling price after both discounts?ExplanationSP = 800 × 0.85 × 0.95 = Rs. 646.
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Q10 MediumA showroom advertises an article with a marked price of Rs. 1,500 and allows successive discounts of 10% and 20%. What is the total discount amount deducted from the marked price?ExplanationSP = 1500 × 0.90 × 0.80 = Rs. 1,080. Total discount = 1500 − 1080 = Rs. 420.
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Q11 MediumSuccessive discounts of 40% and 20% on the marked price are equivalent to a single discount of:ExplanationEquivalent = 40 + 20 − (40 × 20)/100 = 60 − 8 = 52%.
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Q12 HardA furniture item marked at Rs. 2,000 receives a first discount of 30% followed by a second discount of 20% on the reduced price. What is the final selling price of the item?ExplanationSP = 2000 × 0.70 × 0.80 = Rs. 1,120.
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Q13 HardThree successive discounts of 10% each applied on the marked price of an article are equivalent to a single discount of approximately:ExplanationRemaining fraction = 0.9³ = 0.729. Equivalent single discount = (1 − 0.729) × 100 = 27.1%.
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Q14 HardThe first successive discount on an article is 25%. If the equivalent single discount for two successive discounts is 40%, what is the second discount rate?Explanation25 + d − 25d/100 = 40 → d − 0.25d = 15 → 0.75d = 15 → d = 20%.
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DS1 Easy
In a retail pricing assessment, candidates must convert two successive discounts into one equivalent rate. What is the equivalent single discount when two successive discounts are applied?
Statement IThe first discount offered on the marked price is 10%.
Statement IIThe second discount offered on the reduced price is 20%.
ExplanationEquivalent = 10 + 20 − (10 × 20)/100 = 28%. Both discount rates are needed; neither statement alone gives the pair. -
DS2 Medium
Trainees must find the final selling price after two successive discounts. What is the selling price after both discounts?
Statement IThe marked price of the article is Rs. 1,200.
Statement IISuccessive discounts of 10% and 15% are allowed on the marked price.
ExplanationSP = 1200 × 0.90 × 0.85 = Rs. 918. Both the marked price and the two discount rates are required.
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DS3 Medium
A discount policy audit asks whether the combined effect of two successive discounts exceeds 25%. Is the equivalent single discount greater than 25%?
Statement IThe two successive discounts offered are 15% and 12%.
Statement IIThe marked price of the article is Rs. 2,000.
ExplanationStatement I: Equivalent = 15 + 12 − (15 × 12)/100 = 27 − 1.8 = 25.2%, which exceeds 25%. Statement II gives MP only. -
DS4 Hard
An inventory review worksheet asks for the original marked price before any successive reductions were applied. What is the marked price of the article?
Statement IAfter two successive discounts of 10% each, the article is sold for Rs. 810.
Statement IIThe marked price is a round hundred above Rs. 900.
ExplanationStatement I: MP = 810/(0.9 × 0.9) = 810/0.81 = Rs. 1,000. Statement II alone only gives MP > Rs. 900.