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At what percent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price ?

125%
230%
333¹/₃%
437¹/₂%

Answer:- 4

Explanation:-

Solution:

Let Cost price = Rs. 100
Then,
Selling price = Rs. 120
Let marked price be Rs. x
Then,
90% of x = 120

\Rightarrow x = (120 \times 100 90) = 133 1 3 . ∴ Marked price = 33 1 3 % above C .P .

$\eqalign{ & \Rightarrow x{\text{ = }}\left( {\frac{{120 \times 100}}{{90}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\, = 133\frac{1}{3}. \cr & \therefore {\text{Marked price}} \cr & = {\text{33}}\frac{1}{3}\% {\text{ above C}}{\text{.P}}{\text{.}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let Cost price = Rs. 100
Then,
Selling price = Rs. 120
Let marked price be Rs. x
Then,
90% of x = 120

\Rightarrow x = (120 \times 100 90) = 133 1 3 . ∴ Marked price = 33 1 3 % above C .P .

$\eqalign{ & \Rightarrow x{\text{ = }}\left( {\frac{{120 \times 100}}{{90}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\, = 133\frac{1}{3}. \cr & \therefore {\text{Marked price}} \cr & = {\text{33}}\frac{1}{3}\% {\text{ above C}}{\text{.P}}{\text{.}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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