Question

a camera was sold for a gain of 5% if the camera was sold for $4 more the gan would have been 7% what is the cost price of the camera?

Answer 1

Hey mate !!

Here's your answer !!

Refer to the attachment !!

Hope it helps !!

Cheers !!

Answer 2

Hey friend, Harish here.

Here is your answer:

Given that,

1) Gain percent is 5%.

2) If sold for 4 more rupees then gain percentage is 7%.

To find, 

The cost price of the camera.

Solution:

Let : The Selling price " SP " = x.
 
        The Cost Price " CP " = y.
   
We know that,

$Gain\ \% = \frac{SP-CP}{CP} \times 100$

⇒  $5 = \frac{x-y}{y} \times 100$

⇒  $5y = 100x - 100y$

⇒  $105y = 100x$

⇒  $x = \frac{105y}{100}= 1.05y$

Again Use the same formula for 7% Gain.

New selling price = x + 4 = (1.05y+4) , Cost price = y.  & Gain percentage = 7%

We know that,

$Gain\ \% = \frac{SP-CP}{CP} \times 100$

⇒ $7= \frac{(1.05y + 4)- y}{y}\times 100$

⇒ $7y = (0.05y + 4) 100$ 

⇒ $7y = 5y +400$

⇒ $2y = 400$

⇒ $y = \frac{400}{2}=200$

Therefore cost price is $200. 
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Hope my answer is helpful to you.