Question

A grocer sells rice at profit of $10\%$ and uses weights which are $20\%$ less than the market weight. the total gain earned by him will be :

• A. $20\%$
• B. $35\%$
• C. $37.5\%$
• D. none of these

Answer 1

Answer: (C)

$37.5\%$

Let the shopkeeper buys $1kg$ of rice at Rs $x$

Selling price of rice by shopkeeper = $1.1x$

Quantity sold =$0.8kg$

or, $800gm$ is sold for $1.1x$

$⟹$ $1gm$ is sold for $\frac{1.1x}{800}$

$⟹$ $1000gm$ is sold for $\frac{1100x}{800}$

$⟹1.375x$

Hence the profit is $37.5\%$