A) \[\frac{1}{9}\text{th}\] of marked price
B) \[\frac{4}{9}\text{th}\] of marked price
C) \[\frac{5}{9}\text{th}\] of marked price
D) \[\frac{7}{9}\text{th}\] of marked price
Correct Answer: C
Solution :
[c] Let, the marked price be Rs. x. Then, \[\text{Discount}=\frac{\text{Marked}\,\,\text{price}}{\text{2}}=\text{Rs}\text{.}\,\,\frac{x}{2}\] SP of an item \[=(100-10)%\] of \[CP=\frac{90\times CP}{100}=\frac{9}{10}CP\] ...(i) Also,\[\text{SP}=\text{Markedprice}-\text{Discount}=x-\frac{x}{2}=\frac{x}{2}\] (ii) Equating Eqs. (i) and (ii), \[\frac{x}{2}=\frac{9}{10}CP\] \[CP=\frac{10}{18}x=\frac{5}{9}x=\frac{5}{9}\] of marked price |
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