Question : A retailer offers the following discount schemes for buyers on an item. (i) Two successive discounts of 15% (ii) A discount of 20% followed by a discount of 10% (iii) A discount of 30% Under which scheme the selling price will be the maximum?
Option 1: (ii)
Option 2: (ii) and (iii)
Option 3: (i) and (ii)
Option 4: (i)
Correct Answer: (i)
Solution : We know, Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. i) Two successive discounts of 15%: The effective discount, $= 15 + 15 - \frac{15×15}{100} = 27.75$% ii) A discount of 20% followed by a discount of 10%: The effective discount, $= 20 + 10 - \frac{20×10}{100} = 28$% iii) A discount of 30%. Comparing these, we see that the selling price will be maximum under the first scheme because the effective discount is the least in this case (27.75%). Hence, the correct answer is (i).
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Question : A supermarket offers the following discount schemes for buyers. I. Two successive discounts of 25% and 15% II. Successive discounts of 35% and 5% III. A discount of 38% Which offer is better for the customer?
Option 1: Either I or III
Option 2: Only I
Option 3: Only II
Option 4: Only III
Question : On a marked price, the difference of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is INR 504. The marked price of the article (in INR) is:
Option 1: 16,000
Option 2: 16,800
Option 3: 15,500
Option 4: 18,000
Question : The Marked price of a TV is Rs. 16,000. After two successive discounts, it is sold for Rs. 11,400. If the first discount is 5%, then the rate of the second discount is:
Option 1: 15%
Option 2: 20%
Option 3: 30%
Option 4: 25%
Question : On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is INR 1,995. The marked price of the article (in INR) is:
Option 1: 1,550
Option 2: 1,800
Option 3: 1,500
Option 4: 1,600
Question : On the marked price of INR 1,250 of an article, three successive discounts of 5%, 15%, and 20% are offered. What will be the selling price (in INR) after all discounts?
Option 1: 1,000
Option 2: 807.50
Option 3: 975.75
Option 4: 950.25
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