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The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?
- a)Rs.40
- b)Rs.150
- c)Rs.60
- d)Rs.80
- e)Rs.200
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The ratio of cost price of two articles is 4 ∶ 9. The articles are ma...
Let the cost price of first article = 4x
The cost price of second article = 9x
The articles are marked up by 40% and 15% respectively.
Marked price of first article 
Marked price of second article
The ratio of their Marked price is 112 ∶ 207
Marked price of first article = 112y
Marked price of second article = 207y
∴ 5.6x = 112y
⇒ x = 20y
According to question,
Selling price of first article
Profit = 98y – 4x = 270
⇒ 98y – 80y = 270
⇒ 18y = 270
⇒ y = 15
∴ x = 20 × 15 = 300
⇒ Cost price of second article = 300 × 9 = 2700
Marked price of second article
Selling price of second article
∴ Profit earned = 2760 – 2700 = 60
∴ The profit earned on second article is Rs.60.
Hence, the correct option is (C).
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Community Answer
The ratio of cost price of two articles is 4 ∶ 9. The articles are ma...
Given:
- Ratio of cost price of two articles = 4 ∶ 9
- Marked up percentage for the first article = 40%
- Marked up percentage for the second article = 15%
- Ratio of marked price of the two articles = 112 ∶ 207
- Discount percentage for the first article = 12.5%
- Discount percentage for the second article = 11.11%
- Profit earned on the first article = Rs. 270
To find:
Profit earned on the second article
Solution:
Step 1: Finding the cost price of the articles
Let the cost price of the first article be 4x and the cost price of the second article be 9x.
Step 2: Finding the marked price of the articles
The marked price of the first article = cost price + marked up percentage
= 4x + 40% of 4x
= 4x + 1.6x
= 5.6x
The marked price of the second article = cost price + marked up percentage
= 9x + 15% of 9x
= 9x + 1.35x
= 10.35x
Step 3: Finding the discount amount
The discount amount on the first article = 12.5% of the marked price of the first article
= 12.5% of 5.6x
= 0.125 * 5.6x
= 0.7x
The discount amount on the second article = 11.11% of the marked price of the second article
= 11.11% of 10.35x
= 0.1111 * 10.35x
= 1.15x
Step 4: Finding the selling price
The selling price of the first article = marked price - discount amount
= 5.6x - 0.7x
= 4.9x
The selling price of the second article = marked price - discount amount
= 10.35x - 1.15x
= 9.2x
Step 5: Finding the profit
Profit = selling price - cost price
Profit on the first article = 4.9x - 4x
= 0.9x
Given that profit on the first article = Rs. 270
0.9x = 270
x = 270 / 0.9
x = 300
Step 6: Finding the profit on the second article
Profit on the second article = selling price - cost price
= 9.2x - 9x
= 0.2x
Substituting the value of x, we get:
Profit on the second article = 0.2 * 300
= Rs. 60
Therefore, the profit earned on the second article is Rs. 60.
- Ratio of cost price of two articles = 4 ∶ 9
- Marked up percentage for the first article = 40%
- Marked up percentage for the second article = 15%
- Ratio of marked price of the two articles = 112 ∶ 207
- Discount percentage for the first article = 12.5%
- Discount percentage for the second article = 11.11%
- Profit earned on the first article = Rs. 270
To find:
Profit earned on the second article
Solution:
Step 1: Finding the cost price of the articles
Let the cost price of the first article be 4x and the cost price of the second article be 9x.
Step 2: Finding the marked price of the articles
The marked price of the first article = cost price + marked up percentage
= 4x + 40% of 4x
= 4x + 1.6x
= 5.6x
The marked price of the second article = cost price + marked up percentage
= 9x + 15% of 9x
= 9x + 1.35x
= 10.35x
Step 3: Finding the discount amount
The discount amount on the first article = 12.5% of the marked price of the first article
= 12.5% of 5.6x
= 0.125 * 5.6x
= 0.7x
The discount amount on the second article = 11.11% of the marked price of the second article
= 11.11% of 10.35x
= 0.1111 * 10.35x
= 1.15x
Step 4: Finding the selling price
The selling price of the first article = marked price - discount amount
= 5.6x - 0.7x
= 4.9x
The selling price of the second article = marked price - discount amount
= 10.35x - 1.15x
= 9.2x
Step 5: Finding the profit
Profit = selling price - cost price
Profit on the first article = 4.9x - 4x
= 0.9x
Given that profit on the first article = Rs. 270
0.9x = 270
x = 270 / 0.9
x = 300
Step 6: Finding the profit on the second article
Profit on the second article = selling price - cost price
= 9.2x - 9x
= 0.2x
Substituting the value of x, we get:
Profit on the second article = 0.2 * 300
= Rs. 60
Therefore, the profit earned on the second article is Rs. 60.
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The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer?
Question Description
The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer?.
The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?a)Rs.40b)Rs.150c)Rs.60d)Rs.80e)Rs.200Correct answer is option 'C'. Can you explain this answer?.
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