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Ajaya bought a fan and a heater for Rs 4,000. He sold the fan at a profit of 25% and the heater at a loss of 5%. If he gained 7% on his total outlay, at what price did he buy each item?

Given :

Ajaya bought a fan and a heater for Rs 4,000. He sold the fan at a profit of 25% and the heater at a loss of 5%.

To Find :

If he gained 7% on his total outlay, at what price did he buy each item.

Solution :

Let, cost price of fan and heater is x and y respectively.

x + y = 4000       ....1)

Price of fan after 25% profit, x + 0.25x  = 1.25x .

Price of heater after 5% loss, y - 0.07y = 0.93y .

Total profit, 4000 + 0.07×4000 = 4000×1.07 = $4280 .

Equation of selling price :

1.25x + 0.93y = 4280     ....2)

Putting value x from of 1) in equation 2), we get :

So, x = 4000 - 2250

x = Rs 1750

Therefore, he buy fan for Rs 2250 and heater for Rs 1750.

the perimeter is increased by a factor of 2

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step-by-step explanation: