Question

A man sold a article for RS 495 and gained 10% on it. Find the cost price of article​

Answer 1

AnswEr :

• Cost price (CP) of the particle is Rs 450.

GivEn :

• Selling Price (SP) = Rs 495

• Gain = 10%

To find :

• Cost price (CP) of the particle = ?

Solution :

Let the C.P of the article be Rs x , respectively.

Then,

➝ 10% of x

➝ 10/100 × x

➝ x/10

New Selling Price (SP) = x + x/10

As we know that,

$\dashrightarrow \sf \ \ \ Selling \ Price = 495$

$\dashrightarrow \sf \ \ \ x + \dfrac{x}{10} = 495$

$\dashrightarrow \sf \ \ \ \dfrac{(10x + x)}{10} = 495$

$\dashrightarrow \sf \ \ \ \dfrac{11x}{10} = 495$

$\dashrightarrow \sf \ \ \ 11x = 4950$

$\dashrightarrow \sf \ \ \ x = \dfrac{4950}{11}$

$\dashrightarrow \sf \ \ \ { \underline{ \boxed{ \bf{ \purple{ \ x = 450 \ }}}}} \ \bigstar$

Therefore, the Cost Price (CP) of the article is Rs 450

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$\star \ { \Large{ \underline{ \underline{ \sf{ \purple{Additional \ Information :}}}}}}$

$\dag \ { \underline{ \underline{ \sf{ \orange{Some \ important \ formulae :}}}}}$

• Discount = Marked Price - Selling Price

• Discount Percentage = (Discount/Marked price) x 100

• Profit = Selling price - Cost Price

• Loss = Cost Price - Selling Price

• Profit percentage = (Profit /Cost Price) x 100

• Loss percentage = (Loss / Cost price) x 100

• CP = [100/(100 + P%)] × SP

• CP = [100/(100 - L%)] × SP

• SP = [(100 + P%)/100] × CP

• SP = [(100 - L%)/100] × CP

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