Question

If SP of 8 pecils is equal to the CP of 9 pencils Then find gain % (or) loss %__

• A. $8\frac{1}{2}$ % gain
• B. $12\frac{1}{2}$% gain
• C. $12\frac{1}{2}$%loss
• D. $8\frac{1}{2}$% loss

Answer 1

The correct option is C $12\frac{1}{2}$%loss

Let the CP of each pencil $=x$
Then CP of $8$ pencils $=8x$
Given, SP of $8$ pencils $=$ CP of $9$ pencils.
So, SP of $8$ pencils $=9x$
As $CP>SP$. there is a loss
Now, Loss % $=\frac{CP-SP}{CP}\times 100=\frac{9x-8x}{8}\times 100=\frac{100}{8}=\frac{25}{2}=12\frac{1}{2}$ %