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The ratio between the cost price of article M and N is 11:9 respectively. Article M was marked 35% above its cost price and while selling 20% discount was given on it. If the profit obtained on article M while selling is Rs. 352, then find out the selling price of article N where 8% profit was obtained while selling.
  • a)
    3672
  • b)
    3444
  • c)
    3568
  • d)
    3366
  • e)
    None of the above
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The ratio between the cost price of article M and N is 11:9 respectiv...
The ratio between the cost price of article M and N is 11 : 9 respectively.
Let’s assume the cost price of article M and N is 11y and 9y respectively.
Article M was marked 35% above its cost price and while selling 20% discount was given on it.
SP of article M = 11y of 135% of (100-20)%
= 11y of 135% of 80%
= 11.88y
If the profit obtained on article M while selling is Rs. 352.
11.88y-11y = 352
0.88y = 352
y = 400
CP of article N = 9y = 3600
Selling price of article N = 3600 of 108%
= 3888
Hence, option e is the correct answer.
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Community Answer
The ratio between the cost price of article M and N is 11:9 respectiv...
Understanding the Problem
To solve the problem, we first need to determine the cost prices and selling prices of articles M and N based on the information provided.
Step 1: Cost Price of Articles
- Let the cost price of article M be 11x.
- Let the cost price of article N be 9x.
Step 2: Selling Price of Article M
- Article M is marked 35% above its cost price:
- Marked Price of M = Cost Price of M + 35% of Cost Price of M
- Marked Price of M = 11x + 0.35 * 11x = 11x * 1.35 = 14.85x.
- A discount of 20% is given on the marked price:
- Selling Price of M = Marked Price - 20% of Marked Price
- Selling Price of M = 14.85x - 0.20 * 14.85x = 14.85x * 0.80 = 11.88x.
Step 3: Profit from Article M
- Profit from selling article M is Rs. 352:
- Profit = Selling Price of M - Cost Price of M
- 352 = 11.88x - 11x
- 352 = 0.88x
- Therefore, x = 352 / 0.88 = 400.
Step 4: Cost Price of Article N
- Cost Price of N = 9x = 9 * 400 = Rs. 3600.
Step 5: Selling Price of Article N
- Article N is sold for an 8% profit:
- Selling Price of N = Cost Price of N + 8% of Cost Price of N
- Selling Price of N = 3600 + 0.08 * 3600
- Selling Price of N = 3600 * 1.08 = Rs. 3888.
Conclusion
The selling price of article N is Rs. 3888, which is not listed in the given options. Therefore, the correct answer is "None of the above" (option E).
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The ratio between the cost price of article M and N is 11:9 respectively. Article M was marked 35% above its cost price and while selling 20% discount was given on it. If the profit obtained on article M while selling is Rs. 352, then find out the selling price of article N where 8% profit was obtained while selling.a)3672b)3444c)3568d)3366e)None of the aboveCorrect answer is option 'E'. Can you explain this answer?
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