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The marked price of an item is twice the cost price, discount 20% of market price and profit is 10% of selling price. Find profit percentage to cost

a) $$\frac{{100}}{9}$$%
b) $$\frac{{100}}{11}$$%
c) 11%
d) 85%

Answer: a
Explanation:
MP = Rs. 200
Discount = 20%
Profit = Rs. 16
SP = 200 – 20% of 200 = 200 – 40 = Rs. 160
CP = SP – profit = 160 – 16 = Rs.144
% profit = $$\frac{{16 \times 100}}{{144}} = 11.11\% = \frac{{100}}{9}\% $$

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