Question : Three successive discounts of 15%, 20%, and 25% are given. What will be the net discount in percentage?
Option 1: 52%
Option 2: 49%
Option 3: 46%
Option 4: 40%
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Correct Answer: 49%
Solution : Given: Three successive discounts of 15%, 20%, and 25%. Single effective discount = [1 – (1 – 0.15) × (1 – 0.20) × (1 – 0.25)] × 100% = [1 – 0.85 × 0.80 × 0.75] × 100% = [1 – 0.51] × 100% = 0.49 × 100% = 49% Hence, the correct answer is 49%.
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Question : The successive discounts of 15%, 20%, and 25% on an article are equivalent to the single discount of:
Option 1: 60%
Option 2: 47%
Option 3: 49%
Question : If two successive discounts of 20% and 30% are given, what is the net discount (in %)?
Option 1: 40
Option 2: 44
Option 3: 56
Option 4: 60
Question : A shopkeeper makes a net profit of 44% on selling an article at successive discounts of 10% and 20%. Find the net profit percentage, if the shopkeeper sells the same article at a discount of 15%.
Option 1: 50%
Option 2: 70%
Option 3: 30%
Question : If successive discounts of 5%, 10%, and p% are equivalent to a single discount of 31.6%, the value of p is:
Option 1: 15
Option 2: 25
Option 3: 20
Option 4: 30
Question : A shopkeeper offers the following discount schemes for buyers in an article: i. Two successive discounts of $15 \%$ each ii. A discount of $\mathrm{25 \%}$ followed by a discount of $5 \%$ iii. Two successive discounts of $20 \%$ and $10 \%$ iv. A discount of $30 \%$ Under which scheme will the selling price be maximum?
Option 1: Scheme iv
Option 2: Scheme iii
Option 3: Scheme ii
Option 4: Scheme i
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