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
Correct Answer: 4,704
Solution :
Let the cost price be $100x$.
Mark price after adding 35% in cost price = $135x$
Given: Mark price = INR 5670
According to the question,
$135x=5670$
⇒ $x=42$
$\therefore$ Cost price = $100x=100\times42=4200$
To get 12% profit,
Selling price = $\frac{\text{100 + profit%}}{\text{100}}\times$ cost price
= $\frac{\text{100 + 12}}{\text{100}}\times4200$
= $\frac{\text{112}}{\text{100}}\times4200$
= 4704
Hence, the correct answer is INR 4704.
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