a farmer purchased a cow in 14000 rupees and sold gift for 12880 find the loss percentage
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Answers
and cost of calf = Rs. 6000
Answer:
Correct option is A)
Let x be the cost price of cow and y be the cost price of calf.
∴x+y=14000 .(i)
profit% on cow = 20%
∴ profit =
100
20
x
selling price of cow = cost price + profit
=x+
100
20
x
profit% on calf = 13%
∴ profit =
100
13
y
selling price of cow = cost price + profit
=y+
100
13
y
Farmer got profit on whole = 17%
∴ profit =
100
17
×14000
selling price of cow and calf = cost price of cow and calf + profit
x+
100
20
x+y+
100
13
y=14000+
100
17
×14000
∴1.2x+1.13y=16380 .(ii)
Multiplying equation (i) by 1.2. we get,
1.2x+1.2y=16800 iii)
On subtracting (iii) from (ii). we get,
1.13y−1.2y=16380−16800
∴0.07y=420
∴y=6000
On substituting y=6000 in (i). we get,
x+6000=140000
∴x=8000
∴ cost of cow = Rs. 8000
and cost of calf = Rs. 6000