Question

By selling a radio for $8400 a dealer gained 12% .how much money did she gain​

Answer 1

See, in these type of questions always first assume your original price to be x. And now try to write whatever information is given to you.

Now, you have that it has been sold for 12% profit, so basically it is sold at. (1 + (12/100))x = 1.12x

Now it is given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33

Net gain would have been 14%.

So gain of 14%, means the cost to be (1+(14/100))x = 1.14x

And basically both 1.12x +33 and 1.14x are final costs, so

1.14x = 1.12x + 3

=> 1.14x - 1.12x = 3

=> 0.02x = 3

=> x = 3÷0.02

=> x= 1650₹

So original cost is 1650₹.

Hope you understand the solution and the way to tackle these type of problems if not then let me know.

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Answer 2

Answer:

Amount gained = $900

Step-by-step explanation:

Let the cost price be = x

Given selling price = 8400

And profit% = 12%

Profit = selling price - cost price

        = 8400 - x

$Profit \ \% = \frac{profit}{cost \ price} \times 100\\\\12\% = \frac{8400 - x}{x} \times 100\\\\\ 12 \times \frac{1}{100} = \frac{8400 - x}{x}\\\\\frac{12 \ x}{100} = 8400 - x \\\\\frac{12x}{100} + x = 8400\\\\12x + 100x = 8400 \times 100\\\\112x = 8400 \times 100\\\\x = \frac{8400 \times 100}{112} = 7500$

Therefore , cost price of the radio $7500

The amount she gained = 8400 - 7500 = $ 900