Question : The difference between a discount of 30% on INR 5,000 and two successive discounts of 15% and 25% on the same amount is:
Option 1: INR 315.50
Option 2: INR 350.50
Option 3: INR 312.50
Option 4: INR 412.50
Correct Answer: INR 312.50
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a=15\%$ and $b=25\%$ are successive discounts. $=15+25-\frac{15\times 25}{100}=40-3.75=36.25\%$ The required difference $=\frac{36.25-30}{100}\times 5000=\frac{6.25}{100}\times 5000=$ INR 312.50 Hence, the correct answer is INR 312.50.
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Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:
Option 1: Rs. 30
Option 2: Rs. 35
Option 3: Rs. 25
Option 4: Rs. 40
Question : What is the difference between a single discount of 35% on INR 700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?
Option 1: INR 51.20
Option 2: INR 50.12
Option 3: INR 52.10
Option 4: INR 49.80
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 : On the marked price of INR 1,250 of an article, three successive discounts of 5%, 15%, and 20% were offered, The amount (in INR) of discount received by a customer is:
Option 1: 442.50
Option 2: 950.25
Option 3: 450
Option 4: 807.50
Question : Two successive discounts, each of $x\%$ on the marked price of an article, are equal to a single discount of INR 331.20. If the marked price of the article is INR 920, then the value of $x$ is:
Option 1: 20%
Option 2: 15%
Option 3: 25%
Option 4: 18%
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