Knowee
Questions
Features
Study Tools

Select the correct answerThe prices of two articles are in the ratio 4 : 5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then the new prices of A and B will be in the ratio of 10 : 7. The value of x is:Options22.522.452520

Question

Select the correct answerThe prices of two articles are in the ratio 4 : 5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then the new prices of A and B will be in the ratio of 10 : 7. The value of x is:Options22.522.452520

🧐 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 initial prices of the two articles are 4k and 5k respectively.

  2. According to the problem, the price of the first article is increased by x% and the price of the second article is decreased by 30%.

  3. So, the new price of the first article is 4k*(1 + x/100) and the new price of the second article is 5k*(1 - 30/100) = 5k*0.7 = 3.5k.

  4. The problem states that the new prices of the two articles are in the ratio 10:7. So, we can write the equation as follows:

    4k*(1 + x/100) / 3.5k = 10/7

  5. Simplifying the equation, we get:

    (1 + x/100) = 10/7 * 7/4 = 2.5

  6. Solving for x, we get:

    x/100 = 2.5 - 1 = 1.5

    x = 1.5 * 100 = 150

So, the value of x is 150. But this option is not available in the given options. There might be a mistake in the problem or the options.

This problem has been solved

Similar Questions

Two articles ‘A’ and ‘B’ are sold at a profit of 12% and 40% respectively. If the selling price of both the articles is same, then the cost price of ‘A’ and ‘B’ may be:Options3000, 35002500, 20001500, 9002000, 1800

Select the correct answerThe prices of two articles are in the ratio 3: 2. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article isOptionsRs.40Rs.10Rs.30Rs.35

Two articles ‘A’ and ‘B’ are sold at a profit of 12% and 40% respectively. If the selling price of both the articles is same, then the cost price of ‘A’ and ‘B’ may be:

DIRECTIONS for question 5: Select the correct alternative from the given choices.Two sellers, A and B, sell the same product but at a profit of 15% and 12% respectively. If the cost price of A is 85% of the cost price of B, find the ratio of the selling prices charged by A and B.25 : 2828 : 25391 : 448447 : 526

Select the correct answerThe cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?Options16182017

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.