Question : An item was sold at INR 5,474 after two successive discounts of 12.5% and 8% were offered on its Marked Price. What was the Marked Price (in INR) of the item?
Option 1: 6,750
Option 2: 7,000
Option 3: 6,800
Option 4: 6,600
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Correct Answer: 6,800
Solution : Let the Marked Price of the item be $x$. For a discount of 12.5%. $\text{Discount}{_1}=12.5\%\text{ of }x=0.125x$ ⇒ New price after first discount = $x$ - 0.125$x$ = 0.875$x$ For the Second discount = 8% $\text{Discount}{_2}=8\%\text{ of }0.875x=0.07x$ ⇒ New price after first discount = 0.875$x$ - 0.075$x$ = 0.805$x$ According to the question, 0.805$x$ = 5474 ⇒ $x=\frac{5474}{0.805}$ ⇒ $x$ = INR 6800 Hence, the correct answer is 6,800.
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Question : After allowing a discount of 12.5% on the marked price, an article is sold for INR 2,625. Find its marked price.
Option 1: INR 2,975
Option 2: INR 2,900
Option 3: INR 2,950
Option 4: INR 3,000
Question : An article is sold for INR 864 after two successive equal discounts of 25% each on its marked price. What is the discount (in INR)?
Option 1: 698
Option 2: 612
Option 3: 584
Option 4: 672
Question : On an item having a marked price of INR 500, Ravi was offered successive discounts of 36% and 5%, respectively, while Prabhat was offered a single discount of 40%. Who paid more for the item and by how much?
Option 1: Ravi, 4
Option 2: Prabhat, 5
Option 3: Ravi, 5
Option 4: Prabhat, 4
Question : Ramagya sold his computer at three successive discounts of 18%, 12%, and 5%. If the marked price of the computer is INR 36,000, then find the net selling price of the computer. (Correct to two places of decimals.)
Option 1: INR 24,786.72
Option 2: INR 24,678.72
Option 3: INR 24,687.72
Option 4: INR 24,876.72
Question : On an item having a marked price of INR 1,600, successive discounts of $y$% and $z$% were offered. As a result, the item was sold for INR 1,056. Which of the options below CANNOT be a set of values for $y$ and $z$?
Option 1: $y=22, z=15.5$
Option 2: $y=4, z=31.25$
Option 3: $y=20, z=17.5$
Option 4: $y=12, z=25$
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