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 Easy
Successive discounts of 10% and 20% are equivalent to a single discount of:
ExplanationEquivalent = 10 + 20 − 2 = 28%. -
Q2 Easy
MP is Rs. 1,000. Discounts of 10% and 10% are applied. SP is:
ExplanationSP = 1000 × 0.9 × 0.9 = Rs. 810. -
Q3 Medium
Equivalent discount of 15% and 15% is:
ExplanationEquivalent = 15 + 15 − (15×15)/100 = 30 − 2.25 = 27.75%. -
Q4 Medium
Successive discounts of 20% and 10% on Rs. 500 MP give SP:
ExplanationSP = 500 × 0.8 × 0.9 = Rs. 360. -
Q5 Medium
Two successive discounts of 25% each are equivalent to:
Explanation25 + 25 − 6.25 = 43.75%. -
Q6 Hard
MP Rs. 2,000 with discounts 30% and 20%. SP is:
ExplanationSP = 2000 × 0.7 × 0.8 = Rs. 1,120. -
Q7 Easy
Equivalent of 5% and 10% discount is:
Explanation5 + 10 − 0.5 = 14.5%.
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Q8 Hard
After 10% and 15% successive discounts, SP is 76.5% of MP. True or find MP if SP = Rs. 765:
Explanation0.9 × 0.85 = 0.765. MP = 765/0.765 = Rs. 1,000. -
Q9 Medium
Which gives lower SP on the same MP: 20% then 10%, or a single 30% discount?
ExplanationSuccessive 20%+10% equals 28% off. A single 30% discount is deeper, so SP is lower. -
Q10 Medium
MP Rs. 800. Discounts 15% then 5%. SP is:
ExplanationSP = 800 × 0.85 × 0.95 = Rs. 646. -
Q11 Medium
Equivalent discount of 40% and 20% is:
Explanation40 + 20 − 8 = 52%. -
Q12 Hard
Three successive discounts of 10% each on MP are equivalent to:
ExplanationRemaining fraction 0.9³ = 0.729 → discount 27.1%. -
Q13 Medium
MP Rs. 1,500 with 10% and 20% discounts. Total discount amount is:
ExplanationSP = 1080. Discount = 420. -
Q14 Hard
If first discount is 25% and equivalent total is 40%, second discount is:
Explanation25 + d − 25d/100 = 40 → 25d/100 = d − 15 → solve: d = 20%.
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DS1 Easy
What is the equivalent single discount?
Statement IFirst discount is 10%.
Statement IISecond discount is 20%.
ExplanationTogether: 28%. Neither rate alone gives both. -
DS2 Medium
What is the selling price?
Statement IMP is Rs. 1,200.
Statement IISuccessive discounts of 10% and 15% are given.
ExplanationSP = 1200 × 0.9 × 0.85 = Rs. 918.
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DS3 Hard
What is the marked price?
Statement IAfter two 10% discounts, SP is Rs. 810.
Statement IIMP is a round hundred above Rs. 900.
ExplanationStatement I: MP = 810/0.81 = Rs. 1,000. -
DS4 Medium
Is equivalent discount greater than 25%?
Statement IDiscounts are 15% and 12%.
Statement IIMP is Rs. 2,000.
ExplanationStatement I: 15 + 12 − 1.8 = 25.2% > 25%.