Question

The selling price of an article is Rs 355
then there is a profit of 25% if it go
440.2 then the find the profit precent​

Answer 1

${\mathtt{Given}}$

• S.P of article = Rs 355
• Profit of Article = 25%

${\mathtt{To\: Find}}$

• Profit percentage when S.P is Rs 440.2

${\mathtt{Important\: Formulae}}$

$Profit \: \% \: = \: \frac{Profit}{cost \: price} \: \times \: 100$

$C.P \: = \: \frac{100}{100 + \: gain \: \%} \: \times \: S.P$

${\mathtt{Solution}}$

Selling price of article = Rs 355

Gain Percentage = 25 %

$C.P \: = \frac{100}{100 + 25\%} \times 355$

→ Cost price =$\frac{35500}{125}$

⇝ Rs 284 is the cost price .

⇝ Profit = Selling price - Cost price.

⇝ Profit = 440.2 - 284 = 156.2

Now we have to find Profit percentage .

→ $Profit \: \% \: = \: \frac{156.2}{284} \: \times \: 100$

⇝ $Profit \: \% \: = \: \frac{15620}{284}$

⇝ Profit percentage = 55 %

Answer 2

$\large{\underline{\red{\rm{AnswEr:55\%}}}}$

$\bold\green{\underline{Given:}}$

The selling price of article=Rs.355

The profit on article=25%

$\bold\green{\underline{Find:New\: profit\%}}$

$\bold\purple{\underline{Solution:}}$

At first, we have to calculate cost price

$\bold\orange{\boxed{Cost\: price=(\frac{100}{100+P\%})*SP}}$

⟹CP=100/100+25*355

⟹CP=100/125*355

⟹CP=35500/125

⟹CP=Rs.284

Notice, in the question again if the article is sold

for Rs.440.2.How much will get profit ,here

• By using formula here

⟹Selling price of article=Rs.440.2

⟹Cost price of article=Rs.284

$\bold\purple{\boxed{P\%=\frac{SP-CP}{CP}*100}}$

⟹Profit%=440.2-284/284*100

⟹Profit%=156.2/284*100

⟹Profit%=15620/284

⟹Profit%=55%

Hence,

We will gain 55% on article after selling for Rs.440.2