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The CP of an article is $64 %$ of the MP. If there is a discount of $12 %$ on the article, what is the profit percent?

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37.5 %

48 %

50.5 %

52 %

answer is A.

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Detailed Solution

Given that the CP of an article is

64 %

of the MP.
Let the MP be Rs. 100.
Then, the CP is,
C.P =

\frac{64}{100} \times 100

\Rightarrow C . P =

Rs. 64.
Discount is 12%.
We know,
Discount %=

\frac{Discount Price}{MP} \times 100

\Rightarrow

Discount price =

\frac{12}{100} \times 100

\Rightarrow

Discount=Rs.12
Hence,
SP= MP - Discount

\Rightarrow SP = 100 - 12

\Rightarrow

S.P

= Rs . 88

Therefore,
Profit = SP - CP

\Rightarrow Profit = 88 - 64

\Rightarrow Profit = Rs . 24

Profit % =

\frac{Profit}{C . P .} \times 100

\Rightarrow

Profit % =

\frac{24}{64} \times 100

\Rightarrow

Profit

= 37.5 %

Thus, the profit % is 37.5%.
Therefore, the correct option is 1.

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