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A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of 10%. If he had sold all the 20 notes at a profit of 15%, then his profit would have been reduced by Rs.36. What is the cost price of each note?

  • a)
    Rs.160

  • b)
    Rs.190

  • c)
    Rs.120

  • d)
    Rs.180

  • e)
    None of these

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of...
Answer - D.Rs.180

Explanation :

Cost Price = x

Total Profit

= 12x * 20/100 + 8x * 10/100 = 320x/100 = 3.2x

= 20x * 15/100 — (ii) Profit of 15% on 20 notes

Total Profit

3.2x - 3x = 36

0.2x = 36

x = 180
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Most Upvoted Answer
A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of...
Given:
- A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of 10%.
- If he had sold all the 20 notes at a profit of 15%, then his profit would have been reduced by Rs.36.

To find:
- The cost price of each note.

Solution:
Let the cost price of each note be x.

Profit earned on selling 12 notes at 20% profit = 12 * 0.2 * x = 2.4x
Profit earned on selling 8 notes at 10% profit = 8 * 0.1 * x = 0.8x
Total profit earned = 2.4x + 0.8x = 3.2x

If all the 20 notes were sold at 15% profit, then the total profit would be:
20 * 0.15 * x = 3x

Given that the profit reduced by Rs.36:
3.2x - 3x = 36
0.2x = 36
x = 180

Therefore, the cost price of each note is Rs.180.

Answer: Option D.
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Community Answer
A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of...
Cost Price = x
Total Profit = 12x * 20/100 + 8x * 10/100 = 32x/100 = 3.2x —(i)
Total Profit = 20x * 15/100 — (ii)
3.2x – 3x = 36
0.2x = 36
x = 180
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A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of 10%. If he had sold all the 20 notes at a profit of 15%, then his profit would have been reduced by Rs.36. What is the cost price of each note?a)Rs.160b)Rs.190c)Rs.120d)Rs.180e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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