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The question given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. By selling an article what is the profit percent gained? I. $5 %$ discount is given on list price.

II. If the discount is not given, $20 %$ profit is gained.

III. The cost price of the articles is $Rs . 5000$ .

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I and II are correct

II only correct

III only correct

I and III are correct

answer is A.

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Detailed Solution

Given,

5 %

discount if given on list price.
Let

Rs . x

be the list price.
So,

S .P . = 95 %

Rs . x

\Rightarrow Rs . (x \times \frac{95}{100})

\Rightarrow Rs . \frac{19 x}{20}

If discount is not given
Then, Selling price

= Rs . x

and profit

= 20 %

So,

C .P . = Rs . 100120 × x ⇒ C .P . = Rs . 5 x 6

Profit

= 19 x 20 − 5 x 6

\Rightarrow \frac{57 x - 50 x}{60}

\Rightarrow \frac{7 x}{60}

Profit

%

= 7 x 60 × 6 5 x × 100 %

\Rightarrow 14 x

Thus, I and II only give the answer.
Hence, the correct option is 1.

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