Question

By selling an article for rs 100 a man gains rs 15 then what is his gain percentage?

Answer 1

Given: Selling Price = ₹100
Gain = ₹15
Gain % = Profit / Cost price * 100
Cost Price = Selling Price - Profit
= 100 - 15
=85
Gain% = 15/100 * 100
= 15%

Answer 2

The gain percentage is 17.65%.

Step-by-step explanation:

We are given that by selling an article for Rs 100 a man gains Rs 15. And we have to find his gain percentage.

Let the Cost price of an article be represented by 'C.P.'

As we know that whenever there is gain, the cost price is less than the selling price.

So, Selling Price - Cost Price = Profit (Gain)

      S.P. - C.P. = Profit (Gain)

      Rs 100 - C.P. = Rs 15

      C.P. = Rs 100 - Rs 15 = Rs 85

Hence, the cost price of an article is Rs 85.

Now, it the formula for calculating the gain percentage is given by;

          Profit% =  $\frac{\text{Profit}}{\text{C.P.}}\times 100$

                       =  $\frac{\text{15}}{\text{85}}\times 100$

                       = 17.65%

Hence, the gain percentage is 17.65%.