After allowing a discount of $10 %$ on the marked price, a trader still makes a gain of $17 % .$ By what percent is the marked price above the cost price?

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Solution

Let $R s . 100$ be the cost price.
Gain $% = 17 %$
∴ Selling price $= R s . 117$ [ $∵$ SP $=$ CP $+$ gain]
Let the marked price (MP) be $R s . x .$
Then, discount $= 10 %$ of $x$ $= \frac{10}{100} \times x = \frac{x}{10}$
Selling Price $=$ MP $-$ discount
$\Rightarrow 117 = x - \frac{x}{10}$
$\Rightarrow 117 = \frac{9 x}{10}$
$\Rightarrow 9 x = 1170$
$\Rightarrow x = \frac{1170}{9}$
$\Rightarrow x = 130$
∴ Marked price $= R s . 130$
Hence, the marked price is $30 %$ above the cost price.

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After allowing a discount of 10% on the marked price, a trader still makes a gain of 17%. By what percent is the marked price above the cost price?

After allowing a discount of $10 %$ on the marked price, a trader still makes a gain of $17 % .$ By what percent is the marked price above the cost price?