A milkman sold two of his cows for Rs. 20000 each. On one he made a ga...
C.P. of 1
st cow
C.P. of 2
nd cow =
Total C.P. = 19047.62 + 2222.22 = Rs. 41269.84
Total S.P. = Rs. (20000 + 20000) = Rs. 40000
Overall loss = 41269.84 – 40000 = 1269.84
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A milkman sold two of his cows for Rs. 20000 each. On one he made a ga...
Given:
Price of first cow = Rs. 20,000
Price of second cow = Rs. 20,000
Gain on first cow = 5%
Loss on second cow = 10%
To find: Overall gain or loss
Solution:
Cost price of first cow = (100/(100+5)) x 20,000 = Rs. 19,047.62
Cost price of second cow = (100/(100-10)) x 20,000 = Rs. 22,222.22
Total cost price of the two cows = Rs. 19,047.62 + Rs. 22,222.22 = Rs. 41,269.84
Total selling price of the two cows = Rs. 20,000 + Rs. 20,000 = Rs. 40,000
Loss = Total cost price - Total selling price = Rs. 41,269.84 - Rs. 40,000 = Rs. 1,269.84
Therefore, the milkman incurred an overall loss of Rs. 1,269.84
A milkman sold two of his cows for Rs. 20000 each. On one he made a ga...
Given, the milkman sold two cows for Rs. 20000 each.
Let's assume the cost price of the first cow be x. Then the selling price of that cow will be 1.05x (as the milkman made a 5% profit on it).
Similarly, let's assume the cost price of the second cow be y. Then the selling price of that cow will be 0.9y (as the milkman made a 10% loss on it).
The total selling price of both cows = 1.05x + 0.9y = 40000 (as both cows were sold for Rs. 20000 each)
Simplifying the equation, we get: 21x + 18y = 40000 * 10/9
Now, let's assume the cost price of both cows together was z. Then, z = x + y.
To find the overall gain or loss, we need to compare the total selling price with the total cost price.
Total cost price = z = x + y
Total selling price = Rs. 40000 + Rs. 40000 = Rs. 80000
If we substitute z = x + y in the equation 21x + 18y = 40000 * 10/9, we get:
21(x + y) + 18y = 40000 * 10/9
21z + 18y = 44444.44
Simplifying the equation, we get:
y = (44444.44 - 21z) / 18
Substituting the value of y in z = x + y, we get:
z = x + (44444.44 - 21z) / 18
Simplifying the equation, we get:
z = (18x + 44444.44) / 18
Multiplying both sides by 18, we get:
18z = 18x + 44444.44
Substituting the value of 18z in the equation 21z + 18y = 44444.44, we get:
21(18x + 44444.44) + 18y = 44444.44
Simplifying the equation, we get:
378x + 18y = -1169.84
Substituting the value of y in the equation, we get:
378x + 18((44444.44 - 21z) / 18) = -1169.84
Simplifying the equation, we get:
378x + 44444.44 - 21z = -1169.84
Substituting the value of z in the equation, we get:
378x + 44444.44 - 21((18x + 44444.44) / 18) = -1169.84
Simplifying the equation, we get:
378x + 44444.44 - 21x - 44444.44 = -1169.84
Simplifying further, we get:
357x = -1169.84
x = -3.27
Since the cost price cannot be negative, this means that the milkman made a loss overall.
Hence, the answer is option A) 1269.84 Loss.
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