An article costs Rs.600.What should be the marked price of an article so that after 10% discount,the trader makes 20% profit?Rs.800Rs.950Rs.1100Rs.1040
Question
An article costs Rs.600.What should be the marked price of an article so that after 10% discount,the trader makes 20% profit?Rs.800Rs.950Rs.1100Rs.1040
Solution
Step 1: First, we need to calculate the cost price of the article. We know that the cost price is Rs. 600.
Step 2: Next, we need to calculate the selling price that would give the trader a 20% profit. To do this, we multiply the cost price by 1.20 (since 20% profit means the selling price is 120% of the cost price).
So, Selling Price = 600 * 1.20 = Rs. 720
Step 3: Now, we know that this selling price is after a 10% discount. So, the marked price should be such that 10% of it is equal to the difference between the marked price and the selling price.
Let's denote the marked price as 'x'. So, we have the equation:
x - 0.10x = 720
Solving this equation gives us:
0.90x = 720
x = 720 / 0.90 = Rs. 800
So, the marked price of the article should be Rs. 800.
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