Question

04 The cost price of an item is two third of
its selling price. What is the gain or loss
percent on that item ?​

Answer 1

Answer :-

• The gain percentage of the item is 50%.

Step-by-step explanation:

To Find :-

• The gain or loss percentage of an item.

Solution:

Given that,

• The cost price of an item is two-third of the selling price.

Assumption:

Let us assume the selling price as (x) and cost price as (2x/3),

As, Selling price is greater than cost price,

∴ Gain :-

We know,

• Selling price - cost price = Gain

$\sf{ \implies \: gain = x - \dfrac{2x}{3}}$

$\sf{ \implies \: gain = \dfrac{x}{3}}$

Now, The gain percentage :-

We know,

• $\sf{Gain \% = \dfrac{Gain}{C.P.} \times 100}$

$\sf{ \implies \: \dfrac{ \: \: \: \: \: \dfrac{x}{3} \: \: \: \: \: \: }{\dfrac{2x}{3}} \times 100}$

$\sf{ \implies \: \dfrac{x}{3} \times \dfrac{3}{2x} \times 100}$

$\sf{ \implies \: \dfrac{x}{ \not{3}} \times \dfrac{ \not{3}}{2x} \times 100}$

$\sf{ \implies \: \dfrac{ \not{x}}{1} \times \dfrac{1}{2 \not{x}} \times 100}$

$\sf{ \implies \: \dfrac{1}{ \not{2}} \times \cancel{100}}$

$\sf{ \implies \: 50\%}$

Hence, The gain percentage is 50%.