Question

Out of the 14 apples that I had, ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my friend.

Then the total number of apples which are left with me is

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is B

1

Total number of apples $=14$
Number of apples that were spoilt $=14\times \frac{2}{7}=4$ apples.
Now, the number of apples left $=14-4=10$ apples
Number of apples left, after selling some of them $=10\times \frac{1}{5}=2$ apples.
Since, half of the 2 apples is eaten by friend, the number of apples left $=2\times \frac{1}{2}=1$ apple
Therefore, only 1 apple is left.