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The ratio between the cost price of article P and R is 3:4 respectively. The cost price of article Q is 12.5% more than the cost price of article R. Article Q was marked 30% above its cost price and a 20% discount was given on it while selling. The MRP of article P is Rs. 330 less than the MRP of article Q. The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.
Q. If 6.25% profit was obtained on article R while selling, then find out the selling price of article R.
  • a)
    Rs. 880
  • b)
    Rs. 850
  • c)
    Rs. 950
  • d)
    Rs. 960
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ratio between the cost price of article P and R is 3:4 respective...
The ratio between the cost price of article P and R is 3:4 respectively.
Let’s assume the cost price of article P and R is 6y and 8y respectively.
The cost price of article Q is 12.5% more than the cost price of article R.
cost price of article Q = (9/8) of 8y = 9y
Article Q was marked 30% above its cost price and a 20% discount was given on it while selling.
MRP of article Q = 130% of 9y = 11.7y
SP of article Q = 11.7y of 80% = 9.36y
Discount on article Q = 11.7y - 9.36y = 2.34y
The MRP of article P is Rs. 330 less than the MRP of article Q.
MRP of article P = (11.7y - 330)
The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.
(11.7y - 330) of 90% = 756
(11.7y - 330) = 840
11.7y = 840 + 330 = 1170
y = 100
CP of article R = 8y = 800
If 6.25% profit was obtained on article R while selling.
SP of article R = 800 of 106.25%
= Rs. 850
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Community Answer
The ratio between the cost price of article P and R is 3:4 respective...

Given Information:
- Cost price ratio of article P and R is 3:4
- Cost price of article Q is 12.5% more than the cost price of article R
- Article Q was marked 30% above its cost price and a 20% discount was given on it while selling
- MRP of article P is Rs. 330 less than the MRP of article Q
- Selling price of article P is Rs. 756 after giving a discount of 10% on MRP

Solution:
1. Let the cost price of article P be 3x and cost price of article R be 4x
2. Cost price of article Q = 4x + 12.5% of 4x = 4x + 0.125 * 4x = 4x + 0.5x = 4.5x
3. Marked price of article Q = 130% of cost price = 1.3 * 4.5x = 5.85x
4. Selling price of article Q = 80% of marked price = 0.8 * 5.85x = 4.68x

Calculating MRP of articles P and Q:
5. MRP of article P = Selling price + discount = 756 + 330 = Rs. 1086
6. MRP of article Q = 5.85x

Calculating the selling price of article R:
7. Cost price of article R = 4x
8. Selling price of article R = Cost price + Profit = 4x + 6.25% of 4x = 4x + 0.0625 * 4x = 4x + 0.25x = 4.25x

Substituting values and solving:
9. Given MRP of article Q - MRP of article P = Rs. 330
5.85x - 1086 = 330
5.85x = 1416
x = 242.05

10. Substituting x in selling price of article R:
Selling price of article R = 4.25 * 242.05 = Rs. 1029.22

Therefore, the selling price of article R is Rs. 1029.22, which is closest to Rs. 850 (option B).
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The ratio between the cost price of article P and R is 3:4 respectively. The cost price of article Q is 12.5% more than the cost price of article R. Article Q was marked 30% above its cost price and a 20% discount was given on it while selling. The MRP of article P is Rs. 330 less than the MRP of article Q. The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.Q. If 6.25% profit was obtained on article R while selling, then find out the selling price of article R.a)Rs. 880b)Rs. 850c)Rs. 950d)Rs. 960e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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The ratio between the cost price of article P and R is 3:4 respectively. The cost price of article Q is 12.5% more than the cost price of article R. Article Q was marked 30% above its cost price and a 20% discount was given on it while selling. The MRP of article P is Rs. 330 less than the MRP of article Q. The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.Q. If 6.25% profit was obtained on article R while selling, then find out the selling price of article R.a)Rs. 880b)Rs. 850c)Rs. 950d)Rs. 960e)None of the aboveCorrect answer is option 'B'. 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 between the cost price of article P and R is 3:4 respectively. The cost price of article Q is 12.5% more than the cost price of article R. Article Q was marked 30% above its cost price and a 20% discount was given on it while selling. The MRP of article P is Rs. 330 less than the MRP of article Q. The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.Q. If 6.25% profit was obtained on article R while selling, then find out the selling price of article R.a)Rs. 880b)Rs. 850c)Rs. 950d)Rs. 960e)None of the aboveCorrect answer is option 'B'. 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 between the cost price of article P and R is 3:4 respectively. The cost price of article Q is 12.5% more than the cost price of article R. Article Q was marked 30% above its cost price and a 20% discount was given on it while selling. The MRP of article P is Rs. 330 less than the MRP of article Q. The selling price of article P is Rs. 756 after giving a discount of 10% on MRP.Q. If 6.25% profit was obtained on article R while selling, then find out the selling price of article R.a)Rs. 880b)Rs. 850c)Rs. 950d)Rs. 960e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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