Question

the purchase price of the article is rupees 2400 what would be the sales price if gain is 15%​

Answer 1

Answer:

The selling price of the article is Rs. 2760.

Step-by-step explanation:

Given:

Cost Price = Rs. 2400

Gain % = 15%

Asked:

Selling Price = ?

Resolution:

Gain = 15% of Cost Price

⇒ $\frac{15}{100}$ × 2400

⇒ Rs. 360

Gain = Rs. 360

Selling Price = Cost Price + Gain

⇒ Rs. 2400 + Rs. 360

⇒ Rs. 2760

Selling Price = Rs. 2760

Verification:

Now we will verify answer by first finding out Gain and then from that Gain we will find Gain% which is given in question. In this way we will interrelate the question.

Now first of all assume that you don't know the Gain% which you already know. This is because we need to verify the answer by finding Gain%.

You don't know Gain% but you know the:

Cost Price = Rs. 2400

Selling Price = Rs. 2760

Gain =  Rs. 360

Gain % = $\frac{Gain}{Cost Price}$ × 100%

⇒ $\frac{360}{2400}$ × 100%

⇒ $\frac{360}{24}$%

⇒ 15%

Now we find out the gain % through Cost Price and Gain.

This indicates that answer is correct.

Therefore, the Selling Price is Rs. 2760.