Could you provide the answer choices please?
Answer:
The fan = x = 400
The heater = y = 3600
Step-by-step explanation:
Let the cost price of
The fan = x
The heater = y
Aaya bought a fan and a heater for Rs 4,000.
x + y = 4000
x = 4000 - y
He sold the fan at a profit of 25%
25% × x = 0.25x
And the heater at a loss of 5%.
5% × x = 0.05y
If he gained 7% on his total outlay, at
Hence:
0.25x + 0.05y = 7% × 4,000
0.25x + 0.05y = 280
Note:
x = 4000 - y
Hence:
0.25(4000 - y) + 0.05y = 280
1000 - 0.25y + 0.05y = 280
Collect like terms
-0.25y + 0.05y = 280 - 1000
-0.20y = -720
y = -720/0.20
y = 3600
x = 4000 - y
x = 4000 - 3600
x = 400
Hence, the price that he bought each item is given as:
The fan = x = 400
The heater = y = 3600
A quadrilateral with one pair of parallel sides is a trapezoid
For this case we have that the inverse variation is defined as:
Where:
k: It is the constant of proportionality
According to the statement we have:
We find the constant of proportionality:
Then we find the value of x when 
:
Answer:
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