After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark on his go…

28.56 %

28.56 %

Solution:

Let the cost price be Rs.100.

Given: The trader gains 14.28% profit.

So, Selling Price = 100 + 14.28% of 100

S.P = 100 + 14.28

S.P. = Rs.114.28

The trader makes a profit of 14.28% after allowing a discount of 11.11% .

Let the marked price be 'x'.

x - 11.11% of x = 114.28

x - (11.11x/100) = 114.28

(100x - 11.11x)/100 = 114.28

88.89x = 11428

x = 11428/88.89

x = 128.56

So, the marked price is Rs.128.56. The marked price is 28.56% more than the cost price.

So, the correct option is D). 28.56 %