Question

after allowing a discount of 10% on the Marked price on an article a dealer gains 8% .by what percent is a marked price above the cost price?

Answer 1

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Answer 2

⚪Question

After allowing a discount of 10% on the Marked price on an article a dealer gains 8%.By what percent is a marked price above the cost price?

⚪Given

Discount allowed for the marked price = 10%

The dealer Gained = 8%

⚪To Find

By what percent is the marked price above the Cost price ??

⚪Solution

step-by-step explanation:

Let the marked price of the article be Rs. x

↪Then, discount allowed = 10% of x

$( \frac{10}{100} \times x) = Rs. \: \: ( \frac{x}{10} )$

↪Selling Price of article = Marked price - Discount

=>

$Rs. \: \: (x - \frac{x}{10} ) = Rs. \: \frac{9x}{10}$

↪Now, Gain % = 8%

$C.P. = ( \frac{100}{100 + gain} \times S.P.)$

$= ( \frac{100}{108} \times \frac{9x}{10} ) = Rs.( \frac{5x}{6} )$

↪Difference between Marked price and cost price =

$Rs. \: (x - \frac{5x}{6} ) = Rs. \: ( \frac{x}{6} )$

↪$\therefore$ The marked price is above the Cost price by

$\bigg( \frac{ \frac{x}{6} }{ \frac{5x}{6} } \times 100\bigg)\% \: \: = 20\%$

⚪Required Answer

The marked price is above the Cost price by 20%

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▶Some important Concepts◀

• Gain = S.P. - C.P.

• Loss = C.P. - S.P.
• Gain and loss percentage respectively

⤵⤵⤵⤵⤵⤵⤵

$Gain \% \: = (\frac{gain}{C.P.} \times 100)\%$

$Loss \% \: \: \: = ( \frac{loss}{C.P.} \times 100)\%$

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