An article when sold at Rs. $25$ yields a profit of $25$ %. The article is sold at $10$ % discount with a marked price of Rs. $30$ . What would be the profit earned?

30

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Solution

The correct option is B $35$ %
Let's assume Cost Price (CP) of article = $x$ Rs.

Given that when SP $= 25$ Rs, then Profit Percentage $= 25 %$

$\Rightarrow S P = C P + C P \times \frac{P r o f i t P e r c e n t a g e}{100}$

$\Rightarrow 25 = x + x \times \frac{25}{100}$

$\Rightarrow 25 = x + \frac{x}{4} = \frac{5 x}{4}$

$∴ x = 20 R s$

Now, article is sold at 10% discount at marked price of $30$ Rs.

$∴ S P = M P - M P \times \frac{D i s c o u n t P e r c e n t a g e}{100} = 30 - 30 \times \frac{10}{100} = 27 R s$

$P r o f i t = S P - C P = 27 - 20 = 7 R s$

$P r o f i t P e r c e n t a g e = \frac{P r o f i t \times 100}{C P} = \frac{7 \times 100}{20} = 35 %$

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An article when sold at Rs.25 yields a profit of 25%. The article is sold at 10% discount with a marked price of Rs.30. What would be the profit earned?

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