Question

By selling two electric room heaters for 3240 each, Harsh makes a profit of 8% on one and al
Ans of 10% on the other. Find the total loss or gain%.
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Answer 1

Answer: Since you've already provided the answer, here's the worked out solution.

Step-by-step explanation:

Let 'x' be the cost price of heater on which a profit of 8% was made. Then,

x+\frac{8}{100} x=3240x+1008x=3240

⇒\frac{108x}{100} =3240100108x=3240

⇒x=3000x=3000

Thus, the cost price of this heater is Rs.3000

Now, let 'y' be the cost price of heater on which a loss of 10% was made. Then,

y-\frac{10}{100}y=3240y−10010y=3240

⇒\frac{90y}{100}=324010090y=3240

⇒y=3600y=3600

Thus, cost price of the second heater is Rs.3600

Now, total cost price = 3000+3600 = Rs.6600

whereas, total selling price = 3240+3240 = Rs.6480

Clearly, this was a situation of loss(poor Harsh :p). Now,

Loss = 6600-6480 = Rs.120

And loss % = Loss x 100/Cost Price

Loss % = \frac{120}{6600} X 100 = \frac{20}{11}6600120X100=1120

which, as you've mentioned is the answer.