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If SP of an article is $\frac{4}{3}$ of its CP, then find the profit percent in the transaction.

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\frac{1}{3} %

20 \frac{1}{2} %

33 \frac{1}{3} %

25 \frac{1}{2} %

answer is C.

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Detailed Solution

It is given that SP of an article is

\frac{4}{3}

of its CP.
Suppose CP of article = Rs. 100.
SP =

100 \times \frac{4}{3}

\Rightarrow

S.P.

= Rs . \frac{400}{3}

Profit = SP - CP

\Rightarrow

Profit =

\frac{400}{3} - 100

\Rightarrow

Profit

= Rs . \frac{100}{3}

Profit % =

\frac{\frac{100}{3}}{100} \times 100

\Rightarrow

Profit %

= \frac{100}{3}

\Rightarrow

Profit %

= 33 \frac{1}{3}

%
So, the profit percent is

33 \frac{1}{3}

%.
Hence, the correct option is 3.

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