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]$latex 25\%$
[B]$latex 133 \frac{1}{3}&s=1$
[C]$latex 33 \frac{1}{3}&s=1$
[D]$latex 30\%$
$latex \mathbf{33\frac{1}{3}}&s=1$
Let the CP = 100 Rs.
Then, SP = 120 Rs.
Let the marked price = x Rs.
Then, 90% of x = 120 Rs.
$latex => x = \frac{120\times 100}{90}&s=1$
$latex = \frac{400}{3} = 133\frac{1}{3}\%&s=1$
Hence, the marked price is $latex 33\frac{1}{3}\%&s=1$ above the cost price.