Question

a grocer sells rice at profit of 20% and used weight which 25% less.findout overall gain%

Answer 1

Let he buys 100 kg of rice at the rate of 1 rupees per kg.

100 rupees = 100 kg

he sells rice at the profit of 20%.
$= \frac{120}{100} \times 100 \\ = 120 \: rupees$
he sells 25% less rice.
$= \frac{75}{100} \times 100 \\ = 75 \: kg$

Answer 2

The overall percentage of profit is 50%.

Step-by-step explanation:

Let us assume that x kg of rice has a cost price of y Rs.

So, if the grocer sells rice at a profit of 20%, then the selling price of x kg of rice is $y(1 + \frac{20}{100}) = 1.2y$ Rs.

Again, the grocer used weight which is 25% less.

So, the amount of rice he sells is $x(1 - \frac{25}{100} ) = 0.75x$ kg. in the price of 1.2y Rs.

So, the grocer sells x kg of rice at the price of $\frac{1.2y}{0.8x} \times x = 1.5y$ Rs.

So, he is making a profit of (1.5y - y) = 0.5y Rs. on the cost price of y Rs.

Therefore, the overall percentage of profit is $\frac{0.5y}{y} \times 100 \% = 50\%$ (Answer)