When a discount of $15 %$ is allowed on the marked price of an article, it is sold for $R s . 2975$ .
Calculate its marked price. Given that the marked price is $40 %$ above the cost price of the article, calculate:
(i) its cost price
(ii) the profit in $R s .$ made by the sale of the article.

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Solution

Let marked price $=$ Rs. x
$\Rightarrow x - \frac{15 x}{100} = 2975$
$\Rightarrow x = \frac{2975 \times 100}{85} = 3500$
$\Rightarrow$ Cost price $x (1 + \frac{40}{100}) =$ M.P
$\Rightarrow$ Cost price $= \frac{100}{140} \times 3500 = 2500$
$\Rightarrow$ Profit $=$ Rs. $2975 - 2500 =$ Rs. $475$ .

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When a discount of 15% is allowed on the marked price of an article, it is sold for Rs. 2975. Calculate its marked price. Given that the marked price is 40% above the cost price of the article, calculate:(i) its cost price(ii) the profit in Rs. made by the sale of the article.

Let marked price =Rs. x⇒x−15x100=2975⇒x=2975×10085=3500⇒ Cost price x(1+40100)=M.P⇒ Cost price =100140×3500=2500⇒ Profit =Rs. 2975−2500=Rs. 475.

When a discount of $15 %$ is allowed on the marked price of an article, it is sold for $R s . 2975$ .
Calculate its marked price. Given that the marked price is $40 %$ above the cost price of the article, calculate:
(i) its cost price
(ii) the profit in $R s .$ made by the sale of the article.

Let marked price $=$ Rs. x
$\Rightarrow x - \frac{15 x}{100} = 2975$
$\Rightarrow x = \frac{2975 \times 100}{85} = 3500$
$\Rightarrow$ Cost price $x (1 + \frac{40}{100}) =$ M.P
$\Rightarrow$ Cost price $= \frac{100}{140} \times 3500 = 2500$
$\Rightarrow$ Profit $=$ Rs. $2975 - 2500 =$ Rs. $475$ .