Question

find the percentage of profit or loss in sp of 20 articles = cp of 25 articles​

Answer 1

The percentage of profit = 25%

Given :

SP of 20 articles = CP of 25 articles

To find :

The percentage of profit or loss

Solution :

Step 1 of 3 :

Write down Cost price and Selling price

Let , SP of 20 articles = CP of 25 articles = Rs. 100x

Cost price of 1 article = Rs. 4x

Selling price of 1 article = Rs. 5x

Step 2 of 3 :

Calculate amount of profit or loss

Now , 5x > 4x

∴ Selling price > Cost price

So there is profit

Profit in 1 article

= Rs. 5x - Rs. 4x

= Rs. x

Step 3 of 3 :

Calculate profit percentage

Hence the required profit percentage

$\displaystyle \sf{ = \frac{Profit \: Amount }{ Cost \: Price } \times 100 \% }$

$\displaystyle \sf{ = \frac{x }{ 4x } \times 100 \% }$

$\displaystyle \sf{ = \frac{1}{4} \times 100 \% }$

$\displaystyle \sf{ = 25 \% }$

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Answer 2

Step-by-step explanation:

let the sp of each article be rs10.

thus the sp of 25 articles =rs.250

as per the statement sp=cp

thus cp of 20 articles =rs.250

so cp of each article rs 250/20=12.50

loss=cp-sp

so loss on selling the articles is rs.12.50-rs 10.0=rs.2.50.

so loss percentage =rs.250/12.50×100=20%