By what per cent must the cost price be raised in fixing the sale price in order that there may be a profit of 20% after allowing a commission of 10%?

By what per cent must the cost price be raised in fixing the sale price in order that there may be a profit of 20% after allowing a commission of 10%?
[A]25\%
[B]133 \frac{1}{3}
[C]33 \frac{1}{3}
[D]30\%

\mathbf{33\frac{1}{3}}
Let the CP = 100 Rs.
Then, SP = 120 Rs.
Let the marked price = x Rs.
Then, 90% of x = 120 Rs.
=> x = \frac{120\times 100}{90}
= \frac{400}{3} = 133\frac{1}{3}\%
Hence, the marked price is 33\frac{1}{3}\% above the cost price.

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