Meera bought two cows for Rs 10000. If she sold one at a loss of 30% and other at a profit of 30%
and then she found that each cow was sold for the same price, find the percentage of profit or loss in whole transaction.
Answers
Answer:
Step-by-step explanation:
Given,
CP of both the cows together = 10,000
Let the CP of one cow be x which was sold at a loss of 30 %
Therefore,
The CP of another cow will be 10,000 - x which was sold at a profit of 30 %
One cow is sold at a loss of 30%
We know that Loss% = Loss/CP x 100
Therefore,
30 = 100Loss/x
Loss = 30x/100 = 3x/10
We know that,
Loss = CP - SP
3x/10 = x - SP
SP = x - 3x/10 = 7x/10
Another cow is sold at 30% profit
We know that Profit% = Profit/CP x 100
Therefore,
30 = 100Profit/(10,000 - x)
30(10000 - x) = 100Profit
(300000 - 30x)/100 = Profit
Profit = 3000 - 3x/10
We know that,
Profit = SP - CP
3000 - 3x/10 = SP - (10000 - x)
3000 - 3x/10 = SP - 10000 + x
SP = 13000 - 13x/10
According to the question,
Both cow's SP is the same
Therefore,
7x/10 = 13000 - 13x/10
20x/10 = 13000
2x = 13000
x = 6500
Therefore,
SP of the cow which was sold at a loss of 30% = (7 x 6500)/10 = 4,550
SP of the cow which was sold at a profit of 30% = 13000 - (13 x 6500)/10 = 4,550
Total SP = 9100
Total CP = 10000
As CP > SP,
Therefore,
There is a loss
Loss = CP - SP = 10000 - 9100 = 900
Loss% = Loss/CP x 100 = 900/10000 x 100 = 9 %
Therefore,
There is a loss of 9% on the whole transaction