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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. Find out the average of the discount given on article P and Q together.
  • a)
    Rs. 142
  • b)
    Rs. 175
  • c)
    Rs. 168
  • d)
    Rs. 159
  • e)
    None of the above
Correct answer is option 'D'. 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 Eq.(i)
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
Discount on article P = (11.7y - 330) - 756
1170-1086
= 84 Eq.(ii)
Average of the discount given on article P and Q together = Eq.(i) + Eq.(ii)/2
= (234 + 84)/2
= 318/2
= 159
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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 = 3:4
- Cost price of article Q = 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 while selling
- MRP of article P is Rs. 330 less than the MRP of article Q
- Selling price of article P = Rs. 756 after a 10% discount on MRP

Solution:

1. Let the cost prices of articles P and R be 3x and 4x respectively.
2. Cost price of article Q = 4x + 12.5% of 4x = 4x + 0.5x = 4.5x
3. Marked price of article Q = 130% of 4.5x = 5.85x
4. Selling price of article Q = 80% of 5.85x = 4.68x

Calculations:

- MRP of article Q = Selling price of article Q + Discount = 4.68x
- MRP of article P = MRP of article Q - Rs. 330 = 4.68x - 330
- Selling price of article P = 90% of MRP of article P = 0.9 * (4.68x - 330) = Rs. 756

Solving the above equation, x = 180

Discount Calculation:

- Discount on article P = MRP of P - Selling price of P = (4.68 * 180 - 330) - 756 = Rs. 270
- Discount on article Q = MRP of Q - Selling price of Q = 5.85 * 180 - 4.68 * 180 = Rs. 243

Average Discount:

- Average discount = (Discount on P + Discount on Q) / 2 = (270 + 243) / 2 = Rs. 159

Therefore, the average discount given on articles P and Q together is Rs. 159.
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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. Find out the average of the discount given on article P and Q together.a)Rs. 142b)Rs. 175c)Rs. 168d)Rs. 159e)None of the aboveCorrect answer is option 'D'. 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. Find out the average of the discount given on article P and Q together.a)Rs. 142b)Rs. 175c)Rs. 168d)Rs. 159e)None of the aboveCorrect answer is option 'D'. 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. Find out the average of the discount given on article P and Q together.a)Rs. 142b)Rs. 175c)Rs. 168d)Rs. 159e)None of the aboveCorrect answer is option 'D'. 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. Find out the average of the discount given on article P and Q together.a)Rs. 142b)Rs. 175c)Rs. 168d)Rs. 159e)None of the aboveCorrect answer is option 'D'. Can you explain this answer?.
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