Question

By selling an article for rs. 270 a loss of 10% is suffered. Find the price at which the article must be sold in order to gain 12%. ​

Answer 1

Answer:

answer

is

360 rupees

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Answer 2

Answer:

Given,

The Selling price of the article = Rs. 270

Loss incurred on selling =  10%

To find,

Price at which the article must be sold in order to gain 12%.

Solution,

Let us assume cost price = A

We can say that

Loss incurred (@10%) on cost price = A X 10/100 = 10A/100

The formula for calculation of loss

Loss = Cost Price - Selling Price  

So, 10A/100 =  A - 270  

Or, A - 10A/100  =  270

Or, 90A/100 = 270

Or, A = (270 X 100) / 90

Or, A = 3 X 100

Or, A = 300

Hence, the cost price is Rs. 300

To find out the selling price in order to gain 12%

Cost price = Rs. 300

Profit @ 12% = 300 X 12/100

Profit = Rs. 36

The formula for profit calculation:

We know that Selling Price = Profit + cost price

Therefore, Selling Price = Rs. 36 + Rs. 300

Selling Price = Rs. 336

Hence,  

The price at which the article must be sold in order to gain 12% is Rs. 336.