Question : By selling a table for INR 1,596, Aarav loses 24%. At what price (in INR) should he sell it to gain 24%?
Option 1: 3,196
Option 2: 3,024
Option 3: 1,979
Option 4: 2,604
Correct Answer: 2,604
Solution : Given: By selling a table for INR 1,596, Aarav loses 24%. Use the formulas, Profit percentage = $\frac{\text{SP–CP}}{\text{CP}}\times 100$, Loss percentage = $\frac{\text{CP–SP}}{\text{CP}}\times 100$, where $SP$ and $CP$ are the selling price and the cost price. $24 = \frac{\text{CP–1596}}{\text{CP}}\times 100$ ⇒ $24 CP = 100 CP-159600$ ⇒ $76 CP =159600$ ⇒ $ CP= $ INR 2,100 Now, $24= \frac{\text{SP–2100}}{2100}\times 100$ ⇒ $504= SP-2100$ ⇒ $SP=2100+504$ ⇒ $ SP= $ INR 2,604 Hence, the correct answer is INR 2,604.
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Question : A vendor marked the selling price of a table at INR 5,670 after adding 35% profit to its cost price. Since the sales were very low at this price level, he decided to sell the table with a 12% profit. Find the new selling price (in INR).
Option 1: 4,810
Option 2: 4,750
Option 3: 4,704
Option 4: 4,608
Question : A person sold an article at a loss of 16%. Had he sold it for INR 660 more, he would have gained 8%. What should be the selling price (in INR) to gain a profit of 12%?
Option 1: 2,970
Option 2: 3,200
Option 3: 2,750
Option 4: 3,080
Question : By selling 24 items, a shopkeeper gains the selling price of 4 items. His gain percentage is:
Option 1: $16 \frac{1}{3} \%$
Option 2: $20 \%$
Option 3: $33 \frac{1}{3} \%$
Option 4: $16 \frac{2}{3} \%$
Question : By selling a fan for Rs. 1,900 a man has a loss of 5%, then at what price (in Rs) should he sell the fan to gain 20%:
Option 1: Rs. 2,000
Option 2: Rs. 2,400
Option 3: Rs. 2,600
Option 4: Rs. 2,800
Question : A Shopkeeper marked the price as INR 15,000 on an article, and a successive discount of 5%, 10% and 20% was allowed on it. What is the selling price?
Option 1: INR 10,260
Option 2: INR 13,520
Option 3: INR 11,520
Option 4: INR 9,850
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