A trader allows a trade discount of 20 % and a cash discount of 6 frac{1}{4} % on marked price of go

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7.Profit and Loss

hard

A trader allows a trade discount of $20 \%$ and a cash discount of $6 \frac{1}{4} \%$ on the marked price of the goods and gets a net gain of $20 \%$ of the cost. By how much above the cost should the goods be marked for the sale? (in $\%$)

A

$40$

B

$50$

C

$60$

D

$70$

Solution

Let, $C.P.$ of article $=₹ 100$ and marked price $=₹ x$

single equivalent discount

$=\left(20+\frac{25}{4}-\frac{20 \times 25}{400}\right) \%=25 \%$

Now, according to the question,

$x \times \frac{75}{100}=120$

$\Rightarrow x=\frac{120 \times 100}{75}=160$

$\therefore \quad$ The required percentage $=(160-100)=60 \%$

Standard 13

Quantitative Aptitude

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