Knowee
Questions
Features
Study Tools

Select the correct answerAnu 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?OptionsRs.425Rs.450Rs.430Rs.420

Question

Select the correct answerAnu 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?OptionsRs.425Rs.450Rs.430Rs.420

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's solve this step by step:

  1. Let's assume the cost price of the article is 'x' and the initial profit is 'p'.

  2. According to the problem, Anu sold the article for Rs.480 at some profit. So, we can write this as: x + p = 480

  3. The problem also states that if she sold it for Rs.400, there would have been a loss equal to one-third of the initial profit. So, we can write this as: x - (1/3)p = 400

  4. Now we have two equations, and we can solve them simultaneously to find the values of 'x' and 'p'.

  5. Multiply the second equation by 3 to get rid of the fraction: 3x - p = 1200

  6. Now subtract the second equation from the first: 2x = 720

  7. Solving for 'x', we get: x = 720 / 2 = Rs.360

  8. Substituting x = 360 in the first equation, we get: 360 + p = 480, which gives p = 480 - 360 = Rs.120

So, the cost price of the article was Rs.360. However, this option is not given in the question. There might be a mistake in the question or the options provided.

This problem has been solved

Similar Questions

Select the correct answerA trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?Options150250300200

Select the correct answerA person sold an article for 30% profit, If he had Bought it for 10% less he would have reduced price by Rs.330 and earns a profit of 20%. What is the cost price of an Article?Options14001600155017001500

Select the correct answerAn article was sold at a profit of 14%. Had it been sold for Rs 121 less, a loss of 8% would have been incurred. If the same article would have been sold for Rs 536.25, then the profit/loss percent would have been?OptionsLoss 2.5%Profit 5%Loss 5%Profit 2.5%

Select the correct answer 13 of the total of an article is sold at a profit of 15%, 14 is at a profit of 20% and the remained part is at a profit of 24%. If the total profit is Rs.6,240 find the cost price of the article?OptionsRs.31000Rs.35000Rs.32000Rs.

The profit earned on selling an article for Rs. 575 is equal to loss suffered when the article is sold for Rs. 325. Find the cost price of the articleA650B550C500D450

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.