Math, asked by alfishahreenofficial, 8 months ago


A wholeseller sold an article to the retailer at a profit of 10%. The retailer then sold the
article to the customer for $264 at a profit of 20%. Find the cost price of the article for the wholeseller.

(pls, explain it.)

Answers

Answered by tahseen619
13

$200

Step-by-step explanation:

Given:

Wholeseller sold for 10% of profit.

Retailer sold for 20 % of profit at $264

To find:

cost price for the wholeseller

Method of Solution:

It's a chain selling from one to another till customer. Every seller gain some profit on it.

We will solve every part separately.

Solution:

Final Price is $264 with 20% profit it's mean.

 \textsf{Final Cost Price is} = 264 \times  \frac{100}{120}  \\  \\  =  \cancel{264} \times  \frac{10\cancel{0}}{\cancel{12}\cancel{0}}  \\  \\  = 22 \times 10 \\  \\  = 220

Hence, Retailer buy it on $220.

________________________________

Again, Wholeseller sold it on 10% profit it's mean.

 \textsf{Cost Price of Wholeseller} = 220 \times  \frac{100}{110}  \\  \\ =  \cancel{220} \times  \frac{100}{\cancel{110}}  \\  \\  = 2 \times 100 \\  \\  = 200

Therefore, Wholeseller Cost Price is $200.

Answered by Anonymous
41

Answer:

Given : A wholeseller sold an article to the retailer at a profit of 10%. The retailer then sold the article to the customer for Rs. 264 at a profit of 20%.

  • Selling Price ( SP ) = Rs. 264
  • First Profit ( P₁ ) = 10%
  • Second Profit ( P₂ ) = 20%

\rule{100}{0.8}

\underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf Selling\:Price=Cost\:Price \times \dfrac{100+Profit}{100}\\\\\\:\implies\sf SP=CP \times \dfrac{100+P_1}{100} \times \dfrac{100+P_2}{100}\\\\\\:\implies\sf 264 = CP \times \dfrac{100+10}{100} \times \dfrac{100+20}{100}\\\\\\:\implies\sf 264 = CP \times \dfrac{110}{100} \times \dfrac{120}{100}\\\\\\:\implies\sf 264 = CP \times \dfrac{11}{10} \times \dfrac{6}{5}\\\\\\:\implies\sf 264 \times \dfrac{10}{11} \times \dfrac{5}{6} = CP\\\\\\:\implies\sf 4 \times 10 \times 5 = CP\\\\\\:\implies\underline{\boxed{\sf CP = Rs.\:200}}

\therefore\:\underline{\textsf{Cost Price of article for wholeseller is \textbf{Rs. 200}}}.

⠀⠀⠀\rule{160}{1.5}

\boxed{\begin{minipage}{6.5 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ \sf SP = CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}

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