Question

A dishonest dealer professes to sell at cost price but uses a 800 gram weight instead of 1 kg weight. Find percentage profit to the dealer.



1-25%
2-20%
3-12.5%
4-None​

Answer 1

Understanding the question: This question says that we have to find out the profit/gain percentage to the dealer who is a dishonest dealer. He sell anything of 1 kilograms except of 800 grams.

Provided that:

• Selling price is 1 kilograms

• Cost price is 800 grams

To calculate:

• The profit percentage

Solution:

• The profit percentage = 25 %

Using concepts:

• Formula to convert kg into g

• Profit formula

• The profit percentage formula

Using formulas:

• 1 kg = 1000 g

• Profit = SP - CP

• SP denotes selling price and CP denotes cost price.

• ${\sf{Profit \: percentage \: = \dfrac{Profit}{CP} \times 100 \%}}$

Full Solution:

~ Firstly let us convert kilograms into grams for correct calculations!

→ 1 kg = 1000 g (Formula)

→ 1 kg (Given), therefore 1000 g

→ Solution: 1 kg = 1000 g

~ Now let us calculate the profit!

→ Profit = SP - CP

→ Profit = 1000 - 800

→ Solution: Profit = 200 grams

~ Now let us find profit percentage!

$:\implies \sf Profit \: percentage \: = \dfrac{Profit}{CP} \times 100 \% \\ \\ :\implies \sf Profit \: percentage \: = \dfrac{200}{800} \times 100 \% \\ \\ :\implies \sf Profit \: percentage \: = \dfrac{2{\cancel{00}}}{8{\cancel{00}}} \times 100 \% \: (Cancelling) \\ \\ :\implies \sf Profit \: percentage \: = \dfrac{2}{8} \times 100 \\ \\ :\implies \sf Profit \: percentage \: = \dfrac{200}{8} \\ \\ :\implies \sf Profit \: percentage \: = \cancel{\dfrac{200}{8}} \: (Cancelling) \\ \\ :\implies \sf Profit \: percentage \: = 25 \: \%$

Therefore, 25 percentage is the percentage profit to the dealer. So, option A is correct solution!