Question

A Person sells an article for Rs. 550, gaining Rs 50 of its C.P. Find gain%.​

Answer 1

Answer:

10%

Step-by-step explanation:

sp of the article =550

profit=50

cp=550-50

=500

profit%=profit ×100/cp

=50×100/500

=10%

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Answer 2

Question :

$\text{A Person sells an article for Rs. 550, gaining Rs}$

$\text{50 of its C.P. Find gain\%.}$

Given :

$\text{selling\:price\:of\:the\:Article = Rs.550}$

$Profit = Rs.50$

We know:

$C·P = S·P - P$

$C·P = Rs.\big(550 - 50\big)$

$C·P =Rs.500$

$Hence, CP\:is\:Rs.500$

Concept:

$P\% = \bigg(\dfrac{P}{CP} × 100\bigg)\%$

Calculation:

$P\% = \bigg(\dfrac{50}{500} × 100\bigg)\%$

$P\% = \bigg(\dfrac{50}{5} × 1\bigg)\%$

$P\% = \bigg(\dfrac{10}{1}\bigg)\%$

$P\% = 10\%$

$\mathfrak{Hence\:,\:the\:P\%\:is\:10\%}$