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Answer
Hint:: To solve this type of problem first of all we have to calculate the total no. of rotten apples in the basket and then to calculate the final answer that means, total no. of apples. For getting that, we have to add the total no. of rotten apples and good apples i.e.,Total no. of apples = No. of good apples + no. of rotten apples.
Complete step by step solution:
First, we have to calculate the total no. of rotten apples so as per the question, It is given that $12\% $ are rotten apples and $66$apples are in good condition.So, the total no. of rotten apples will be $12\% $ of total no. of apples. Then, Percentage of good apples will be [Total percentage ( \[100{\text{ }}\% \]) $ - $ rotten apple percentage ($12\% $) ]$ = 100 - 12\% = 88\% $If \[88\% \]of total no. of apples is $66$.Then , \[1{\text{ }}\% \] of total no. of apples would be – \[\dfrac{{66}}{{88}}\]Then \[100{\text{ }}\% \]of total no. of apples will be – \[\dfrac{{66}}{{88}} \times 100 = \dfrac{3}{4} \times 100 = 25 \times 3 = 75\]So, for calculating the total no. of apple we have to get \[100{\text{ }}\% \] of the total no. of apples that will include both no. of rotten apples and no. of good apples.$\therefore$ The total no. of apples will be $75$. Hence, the correct option is (A).
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