Question

the cost price of 30 articles is equal to the selling price of 20 articles find the loss or gain percentage​

Answer 1

Step-by-step explanation:

let cost of 30 articles be x

cost price of 1 article =x/30

sp of 20 articles=x

sp of 1 article=x/20

profit=sp-cp

=x/20-x/30

=(3x-2x)/60

=x/60

profit %=profit/cp*100

=x/60÷x/30 ×100

=x/2 * 100

=50%

Answer 2

The gain percentage = 50%

Given :

The cost price of 30 articles is equal to the selling price of 20 articles

To find :

The loss or gain percentage

Solution :

Step 1 of 3 :

Write down Cost price and Selling price

Here it is given that cost price of 30 articles is equal to the selling price of 20 articles

Price of 1 article = Rs. x

Then we have ,

Total cost price = Rs. 20x

Total Selling price = Rs. 30x

Step 2 of 3 :

Calculate loss or gain amount

Now 30x > 20x

∴ Selling price > Cost price

So there is gain

Gain amount

= Rs. 30x - Rs. 20x

= Rs. 10x

Step 3 of 3 :

Calculate gain percentage

Hence the required gain percentage

$\displaystyle \sf{ = \frac{ \dfrac{10x}{20x} }{ \dfrac{1}{12} } \times 100 \% }$

$\displaystyle \sf{ = \frac{1}{2} \times 100 \% }$

$\displaystyle \sf{ = 50 \% }$

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