• # question_answer Directions From the four answers given, shade the appropriate answer in the space provided for it on the OW Answer Sheet. By selling 11 oranges for a rupee, a man loses 10%. How many oranges for a rupee should he sell to gain 10%? A) 9                      B) 10        C) 8                                  D) 5

Ans.   Suppose the cost price of an orange is x paisa. Then, cost price of 11 oranges will be $11x$ paise selling price of 11 oranges is given 100 paise. Loss $=11x-100$ Percentage Loss $=\frac{11x-100}{11x}\times 100$ $10=\frac{11x-100}{11x}\times 100$ $11x=110x-1000$ $99x=1000$ $x=\frac{1000}{99}$ $=10.1$ paise Selling price of an orange to get 10% profit $\Rightarrow \,\,\,\,\,\,\,\,\,10.1+10.1\times \frac{10}{100}$ = 11.11 paise Total oranges to be sell in 100 paise to get 10% profit $\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{100}{11.11}\simeq 9$