A person sells a machine for 4,000 and loses some thing. Had he sold it for 5000 his gain would have been 2/3 of the former loss; find the cost price of the machine.
Answers
Answer:
Step-by-step explanation:
Let loss be x,
Now, according to given condition 1st
S.P = 4000
So,
Loss = C.P - S.P
x = C.P - 4000 -----(1)
Now, According to given condition 2nd,
Profit = 2/3 of x
So,
Profit = S.P - C.P
2x/3 = 5000-C.P ------(2)
Equate equation 1st and 2nd
Therefore,
x+4000 = 5000 - 2x/3
x+2x/3 = 5000-4000
5x = 1000×3
x = 3000/5
x = 600
Loss = 600
Put the value of x in equation 1st
600 = C.P - 4000
C.P = 4600
HOPE IT HELP'S YOU
Answer:
The correct answer of this question is 4600.
Step-by-step explanation:
Given - A person who sells a machine in 4,000 and loses some thing and he sold it for 5000 his gain would have been 2/3 of the former loss .
To Find - find the cost price of the machine.
According to the question ,
selling price of machine is 4000
and Loss is C.P - S.P
x = C.P - 4000 -----(1)
Now, second condition is -
Profit = 2/3 of x
Profit = S.P - C.P
2x/3 = 5000-C.P ------(2)
Now, first and second equation is
x+4000 = 5000 - 2x/3
x+2x/3 = 5000-4000
5x = 1000×3
x = 3000/5
x = 600
Loss is = 600
Put the value of x in the equation 1st and we get,
600 = C.P - 4000
C.P = 4600
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