Question

A fruit seller professes to sell his fruits at cost price, but still gains $25\%$ on his outlay. What weight does he substitute for a kilogram?

• A. $750$ grams
• B. $800$ grams
• C. $890$ grams
• D. $900$ grams

Answer 1

The correct option is B $800$ grams

Let error $=x$ grams.
Then, $\frac{x}{1000-x}\times 100=25$
$\Rightarrow \frac{100x}{1000-x}=25$
$\Rightarrow 100x=25000-25x$
$\Rightarrow 125x=25000$
$\Rightarrow x=\frac{25000}{125}=200$
$\therefore$ Weight used $=(1000-200)=800$ grams.