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Q.

A shopkeeper sells 25 articles at Rs. 45 per article after giving 10% discount and earns 50% profit If the discount is not given find the profit gained.

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a

60 %

b

60 \frac{2}{3} %

c

66 %

d

66 \frac{2}{3} %

answer is D.

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Detailed Solution

Given:
Sold articles price= 25
In the 1st case
Selling price of 1 article = Rs. 45.
Given discount on per article = 10 %
Selling price after given discount = 100% - 10 % = 90 %
Profit gain = 50 %
Suppose that
Marked price of each article = Rs. x
Then,
Selling price = 90% = Rs. X then,

\Rightarrow 45 = \frac{90 x}{100}

\Rightarrow x = \frac{45 \times 100}{90}

\Rightarrow x = 50

Now calculate the cost price (C.P.) of the article

C . P = Rs . \frac{100}{150} \times 45

C . P = Rs . 30

In the 2nd case
Calculate when no discount given per article then
Profit gained

= Rs . (50 - 30)

= Rs . 20

And Profit %

= \frac{20}{30} \times 100 %

= 66 \frac{2}{3} %

Hence, if not given discount on article then profit gained

66 \frac{2}{3} %

.
Correct option is 4.

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