Question

24) A person sold his television for Rs. 10,900 and earned profit 9%. Find the cost price of Television.​

Answer 1

Solution :

Selling price of T. V = Rs10,900

Profit = 10%

Cost price = ?

We know that

Percentage profit = sp - cp x 100

cp

=> 10 = 10900 - cp x 100

cp

=> cp = ( 10900 - cp ) x 100

10

=> cp = 10 ( 10900 - cp)

=> cp = 10 x 10900 - 10cp

=> 10cp = 109000

=> cp = 109000

10

=> cp =10900

➡ Cost price = 10,900.

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Answer 2

Given

• Selling Price of television = Rs.10,900
• Profit (P) = 9%

To Find

• Cost price (C.P) of Television

$\boxed{\bf{C.P = \dfrac{100×S.P}{100+P \%} }}$

• Putting the values

$\\\sf{ \implies C.P = \dfrac{100×10900}{100+9} }$

$\sf{ \implies C.P = \dfrac{100×10900}{109} }$

$\sf{ \implies C.P = \dfrac{1090000}{109} }$

$\sf{ \implies C.P = \dfrac{ \cancel{109} ^{ 1} \times 10000}{\cancel{109}} }$

$\sf{ \implies C.P = 10000 }$

• Cost Price of Television is Rs.10,000.

More to know

• $\\\small\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c } \sf {\text{\footnotesize\textsf{}}} \:S.P. =\sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times C.P.\\ \\ \sf C.P. = \sf \dfrac{S.P. \times 100}{100 + Profit \%} \\ \\ \sf \:\:Profit = \sf \dfrac{Profit \% \times C.P.}{100} \\ \\ \sf \:Profit (gain) = S.P. - C.P. \\ \\\: \:\sf Profit \% = \dfrac{Profit}{C.P.} \times 100 \end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$