Question

A man buys a dvd for 20% less than its value and sells it for 20% more than its value. his gain or loss percent is.

Answer 1

Answer:

The required answer is $50$% Profit.

Step-by-step explanation:

Given: An individual buys a DVD at $20$% less than its market price and sells it for $20$% more.

To find: gain or loss percent.

Let the DVD be worth= $Rs x$

Then, according to the question cost price at 2$0%$ less value.

C.P.=$\frac{(100-20)}{100}*x=\frac{8x}{10} Rs$

Now, selling price at 20% more price:

S.P.=$x*\frac{(100+20)}{100}=\frac{12x}{10} Rs.$

We know that,

Gain=S.P.-C.P.

=$\frac{12x}{10}-\frac{8x}{10}$

$=\frac{4x}{10} Rs.$

But,

Gain%=Gain/C.P.$*100$

=$\frac{\frac{4x}{10}}{\frac{8x}{10}}*100$

$=50$%

Hence, the gain or loss percent is $50$% profit.

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Answer 2

Answer:

Profit of 50%

Step-by-step explanation:

Let the article be of price x.

Now, as man buy the article 20%less of exact value

C.P = 80% of x = Rs(8x/10). (Here small x denotes price of article)

S.P = 120% of x = Rs(12x/10).

Now,

Gain = Rs(12x/10 - 8x/10)

Rs = 4x/10.

Percentage of gain =  [(4x/10)/(8x/10)] X100  (Here big x denotes the multiply)

Percentage of gain= 50%.

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