Let's solve this step by step:

Step 1: Let's assume the cost price of the article is 'x' Rs.

Step 2: According to the problem, Anu sold the article for Rs.480 and made some profit. So, the profit is Rs.480 - 'x'.

Step 3: The problem also states that if she sold it for Rs.400, she would have a loss equal to one-third of the initial profit. So, the loss is 'x' - Rs.400.

Step 4: According to the problem, this loss is equal to one-third of the initial profit. So, we can set up the equation: 'x' - 400 = 1/3 * (480 - 'x').

Step 5: Solve this equation for 'x'. Multiply through by 3 to get rid of the fraction: 3*'x' - 1200 = 480 - 'x'.

Step 6: Add 'x' to both sides: 4*'x' - 1200 = 480.

Step 7: Add 1200 to both sides: 4*'x' = 1680.

Step 8: Divide by 4 to solve for 'x': 'x' = 420.

So, the cost price of the article was Rs.420.

Question

Let's solve this step by step:

Step 1: Let's assume the cost price of the article is 'x' Rs.

Step 2: According to the problem, Anu sold the article for Rs.480 and made some profit. So, the profit is Rs.480 - 'x'.

Step 3: The problem also states that if she sold it for Rs.400, she would have a loss equal to one-third of the initial profit. So, the loss is 'x' - Rs.400.

Step 4: According to the problem, this loss is equal to one-third of the initial profit. So, we can set up the equation: 'x' - 400 = 1/3 * (480 - 'x').

Step 5: Solve this equation for 'x'. Multiply through by 3 to get rid of the fraction: 3*'x' - 1200 = 480 - 'x'.

Step 6: Add 'x' to both sides: 4*'x' - 1200 = 480.

Step 7: Add 1200 to both sides: 4*'x' = 1680.

Step 8: Divide by 4 to solve for 'x': 'x' = 420.

So, the cost price of the article was Rs.420.

Knowee AI · Accepted Answer

Let's solve this step by step:

Step 1: Let's assume the cost price of the article is 'x' Rs.

Step 2: According to the problem, Anu sold the article for Rs.480 and made some profit. So, the profit is Rs.480 - 'x'.

Step 3: The problem also states that if she sold it for Rs.400, she would have a loss equal to one-third of the initial profit. So, the loss is 'x' - Rs.400.

Step 4: According to the problem, this loss is equal to one-third of the initial profit. So, we can set up the equation: 'x' - 400 = 1/3 * (480 - 'x').

Step 5: Solve this equation for 'x'. Multiply through by 3 to get rid of the fraction: 3*'x' - 1200 = 480 - 'x'.

Step 6: Add 'x' to both sides: 4*'x' - 1200 = 480.

Step 7: Add 1200 to both sides: 4*'x' = 1680.

Step 8: Divide by 4 to solve for 'x': 'x' = 420.

So, the cost price of the article was Rs.420.

Anu sold an article for Rs.480 at some profit. Had she sold it for Rs.400, then there would have been a loss equal to one-third of the initial profit. What was the cost price of the article?

Question

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