Practice Questions
Concept Explanation
Two discounts d₁% and d₂% on MP are equivalent to a single discount:
d = d₁ + d₂ − (d₁ × d₂) / 100
Successive discounts are not additive — 10% + 20% ≠ 30%.
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Q1 EasySuccessive discounts of 10% and 20% are equivalent to a single discount of:ExplanationEquivalent discount = 10 + 20 − (10 × 20)/100 = 30 − 2 = 28%.
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Q2 EasySuccessive discounts of 15% and 10% are equivalent to a single discount of:ExplanationEquivalent discount = 15 + 10 − (15 × 10)/100 = 25 − 1.5 = 23.5%.
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Q3 EasySuccessive discounts of 5% and 5% are equivalent to a single discount of:ExplanationEquivalent discount = 5 + 5 − (5 × 5)/100 = 10 − 0.25 = 9.75%.
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Q4 MediumSuccessive discounts of 20% and 15% are equivalent to a single discount of:ExplanationEquivalent discount = 20 + 15 − (20 × 15)/100 = 35 − 3 = 32%.
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Q5 MediumSuccessive discounts of 15% and 15% are equivalent to a single discount of:ExplanationEquivalent discount = 15 + 15 − (15 × 15)/100 = 30 − 2.25 = 27.75%.
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Q6 MediumTwo successive discounts of 25% each are equivalent to a single discount of:ExplanationEquivalent discount = 25 + 25 − (25 × 25)/100 = 50 − 6.25 = 43.75%.
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Q7 MediumTwo successive discounts of 20% each are equivalent to a single discount of:ExplanationEquivalent discount = 20 + 20 − (20 × 20)/100 = 40 − 4 = 36%.
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Q8 MediumSuccessive discounts of 10% and 30% are equivalent to a single discount of:ExplanationEquivalent discount = 10 + 30 − (10 × 30)/100 = 40 − 3 = 37%.
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Q9 MediumSuccessive discounts of 25% and 10% are equivalent to a single discount of:ExplanationEquivalent discount = 25 + 10 − (25 × 10)/100 = 35 − 2.5 = 32.5%.
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Q10 MediumSuccessive discounts of 12% and 8% are equivalent to a single discount of:ExplanationEquivalent discount = 12 + 8 − (12 × 8)/100 = 20 − 0.96 = 19.04%.
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Q11 MediumAn article with marked price Rs. 2,000 is sold after an equivalent single discount of 28%. What is the selling price?ExplanationSP = 2,000 × (100 − 28)/100 = 2,000 × 0.72 = Rs. 1,440.
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Q12 HardIf the first successive discount is 20% and the equivalent single discount is 36%, what is the second discount?Explanation20 + d − (20 × d)/100 = 36 → 20 + 0.8d = 36 → 0.8d = 16 → d = 20%.
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Q13 HardWhich pair of successive discounts gives a higher equivalent single discount: 25% and 10%, or 20% and 15%?Explanation25% + 10% gives 32.5%; 20% + 15% gives 32%. So 25% and 10% is higher.
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Q14 HardThree successive discounts of 10% each are equivalent to a single discount of approximately:ExplanationRemaining fraction = 0.9³ = 0.729. Equivalent discount = 100 − 72.9 = 27.1%.
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DS1 Easy
A pricing analyst must convert two store discounts into one equivalent rate. What is the equivalent single discount?
Statement IThe first successive discount on the marked price is 20%.
Statement IIThe second successive discount on the marked price is 15%.
ExplanationEach rate alone does not give the combined equivalent. Together: 20 + 15 − 3 = 32%. -
DS2 Easy
A merchandising trainee must find the equivalent discount when two equal rates are applied. What is the equivalent single discount?
Statement IBoth successive discounts on the marked price are 15%.
Statement IIThe marked price of the article is more than Rs. 1,000.
ExplanationStatement I alone gives equivalent discount = 27.75%. Statement II does not fix the discount rates.
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DS3 Medium
After combining successive discounts, the billing team needs the final selling price. What is the selling price?
Statement IThe marked price of the article is Rs. 1,500.
Statement IISuccessive discounts of 10% and 20% are offered on the marked price.
ExplanationStatement I gives MP. Statement II gives both discount rates. Together: SP = 1,500 × 0.9 × 0.8 = Rs. 1,080. -
DS4 Medium
A discount policy review asks whether the combined offer exceeds a 40% reduction. Is the equivalent single discount greater than 40%?
Statement ITwo successive discounts of 25% each are applied on the marked price.
Statement IIThe marked price of the article is Rs. 800.
ExplanationStatement I alone gives equivalent discount = 43.75%, which is greater than 40%. Statement II is not needed.