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Sagot :
Answer:
cost price of TV 1 = 16, 765
cost price of TV 2 = 13, 235
Step-by-step explanation:
Let the cost of TV 1 = x
let the cost of TV 2 = y
as per given:
x + y = 30,000 (1)
TV 1 is sold at a loss of 15%
i.e.
15% of x = 15x/100
x= x - 15x/100
= 100x - 15x / 100 = 85x/100
TV 2 is sold at a profit of 19%
i.e.
19% of y = 19y/100
y = y + 19y/100
= 100y + 19y / 100 = 119y/100
from equation (1)
x + y = 30,000
i.e.
85x/100 + 119y/100 = 30,000
85x + 119y / 100 = 30,000
85x + 119y = 30,000 * 100
85x + 119y = 3,000,000 (2)
from equation (1)
x = 30,000 - y (3)
substituting value of x from equation(3) into (2)
85(30,000 - y) + 119y = 3,000,000
2,550,000 - 85y + 119y = 3,000,000
34y = 4,50,000
y = 4,50,000/34 = 13,235
substituting the value of y in equation (3)
x = 30,000 - 13,235 = 16,765
thus,
cost price of TV 1 = 16, 765
cost price of TV 2 = 13, 235
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