Question

Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 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?

Answer 1

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 $0.25x$

Loss on heater is $0.05\times (4000-x)$

Total profit is 7% i.e. $0.07\times 4000$

$\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600$

Thus, the price of heater is $4000-1600=Rs.\ 2400$

Price of fan is $Rs.\ 1600$

Price of heater is $Rs.\ 2400$