Respuesta :
Answer: Heater -Rs 2400; Fan- Rs 1600
Step-by-step explanation:
Given
Ajay bought a fan and a heater for Rs 4000
Suppose the price of fan is x and that of heater is 4000-x
Profit on the fan is [tex]0.25x[/tex]
Loss on heater is [tex]0.05\times (4000-x)[/tex]
Total profit is 7% i.e. [tex]0.07\times 4000[/tex]
[tex]\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600[/tex]
Thus, the price of heater is [tex]4000-1600=Rs.\ 2400[/tex]
Price of fan is [tex]Rs.\ 1600[/tex]
Price of heater is [tex]Rs.\ 2400[/tex]
The individual cost of fan and heater are;
Cost of fan = Rs. 1600
Cost of heater = Rs. 2400
Total Cost price of heater and fan = Rs 4000
Let cost of fan be x
Thus cost of heater = 4000 - x
Percentage Profit of sale of fan = 25% = 0.25
Loss percentage on heater = 5% = 0.05
Thus;
Profit on fan = 0.25x
Loss on heater = 0.05(4000 - x)
Total profit of all sales = 0.07 × 4000
Thus;
0.07 × 4000 = 0.25x - 0.05(4000 - x)
280 = 0.25x - 200 + 0.05x
480 = 0.3x
x = 480/0.3
x = Rs. 1600
Thus;
Cost of heater = 4000 - 1600
Cost of heater = Rs. 2400
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