Question

I have 14 apples with me, out of which $\frac{2}{7}$ of them were spoilt. From the remaining good ones, I sold a few of them and was left with $\frac{1}{5}$ of the fresh apples. I gave half of the remaining apples to my friend. Find the total cost of apples which are left with me if the price of apple is $₹126$ per dozen. $\left[4\right]$

Answer 1

Total number of apples = 14

$\text{Number of apples that were spoilt =}14\times \frac{2}{7}=4\text{apples.}$
Now, no. of apples left = 10 apples $\left[1mark\right]$

Number of apples left, after selling
some = $10\times \frac{1}{5}=2$ apples. $\left[1mark\right]$

Half of the 2 apples I gave to my friend, hence half of them left.

$\therefore \text{The number of apples left =}2\times \frac{1}{2}=1\text{apple.}$ $\left[1mark\right]$

Therefore, only 1 apple is left with me now.

Now, cost of 12 apples = $₹126$
Cost of 1 apple = $\frac{₹126}{12}$ = ₹10.5 $\left[1mark\right]$