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A farmer bought two cows for Rs 18,500. He sold one at a loss of 20% and the other at a profit of 20%. If the selling price of each cow is the same, then their cost prices are respectively?
  • a)
    10,000 and 9,500
  • b)
    11,500 and 8,000
  • c)
    12,000 and 7,500
  • d)
    10,500 and 9,000
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A farmer bought two cows for Rs 18,500. He sold one at a loss of 20% a...
SP1=SP2
SP1 = 20% loss = 80% of CP
SP2 = 20% profit = 120% of CP
SP1/SP2 = 80/120 = 2/3
CP of two cows = 18500 rs
CP1 = 2*(18500/(2+3)) =7400 rs
CP2 = 3*(18500/(2+3)) = 11100 rs
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Most Upvoted Answer
A farmer bought two cows for Rs 18,500. He sold one at a loss of 20% a...
Given:
Cost of two cows = Rs. 18,500
One cow sold at a loss of 20%
One cow sold at a profit of 20%
Selling price of each cow is the same

To find: The cost price of each cow

Solution:
Let the cost price of the first cow be x.
Then the cost price of the second cow will be (18500 - x).

The first cow is sold at a loss of 20%, so the selling price of the first cow will be:
(100% - 20%) * x = 0.8x

The second cow is sold at a profit of 20%, so the selling price of the second cow will be:
(100% + 20%) * (18500 - x) = 1.2(18500 - x)

As per the question, the selling price of each cow is the same. Therefore, we can equate the selling prices of the two cows:
0.8x = 1.2(18500 - x)

Solving the above equation, we get:
0.8x = 22200 - 1.2x
2x = 22200
x = 11100

So, the cost price of the first cow is Rs. 11,100.
The cost price of the second cow will be:
18500 - 11100 = Rs. 7400

Therefore, the cost prices of the two cows are Rs. 11,100 and Rs. 7,400 respectively.

Hence, option E is the correct answer.
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A farmer bought two cows for Rs 18,500. He sold one at a loss of 20% and the other at a profit of 20%. If the selling price of each cow is the same, then their cost prices are respectively?a)10,000 and 9,500b)11,500 and 8,000c)12,000 and 7,500d)10,500 and 9,000e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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