Question

a person sells an article for rs80,gaining rs 16.his gain per cent is​

Answer 1

His gain per cent is 25%.

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Let's understand a few concepts:

What is the cost price?  

The cost price is the original price of items or goods at which it is bought by the retailer.

What is the selling price?

The selling price is the price of items or goods at which it is sold to the customer.

What is profit?

A profit usually occurs in the transaction when the selling price of the item is more than the cost price of the item.

How to calculate the profit and profit percentage?

The profit and profit percentage of the article can be found by using the following formulas:

$\boxed{\bold{Profit = S.P. - C.P.}}$

$\boxed{\bold{Profit \:percentage = \frac{Profit}{C.P.} \times 100 }}$

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Let's now solve the given problem:

The selling price of an article = Rs. 80

The amount of profit = Rs. 16

Therefore,

The cost price of the article is,

= S.P. - Profit

= Rs. 80 - Rs. 16

= Rs. 64

Now,

The profit percentage is,

= $\frac{16}{64} \times 100$

= $\frac{1}{4} \times 100$

= $\bold{25\%}$

Thus, his gain percentage is 25%.

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Answer 2

Answer:

If a person sells an article for rs 80, gaining rs 16, then his gain percent is​ 25%.

Step-by-step explanation:

If the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit.

Given: SP of article = Rs 80

gain (Profit) = Rs 16

Profit = SP - CP

CP = SP - profit

= 80 - 16

= Rs 64

If CP = 64 and profit = 16 then find % profit

% profit = Profit/CP × 100

= 16/64 × 100

= 1600/64

= 25%

So, gain percent is 25%.