Question

If the CP of 6 articles is equal to SP of 4 articles, find the gain percentage. ​

Answer 1

Answer:

Let the cost price of one article be Rs.x

Therefore,

Cost price of 6 article =6x

Cost price of 4 articles =4x

Given that the selling price of 4 articles is equal to the cost price of 6 articles.

∴ Selling price of 4 articles =6x

Now, as we know that,

Gain %=

cost price

selling price−cost price

×100

∴Gain%=

4x

6x−4x

×100

⇒Gain %=

4x

2x

×100=50%

Hence the gain % is 50%.

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Answer 2

Answer:

The gain percent is $50\%$.

Step-by-step explanation:

As per the data given in the question we have to find the value of gain %.

Let, Rs. $x$ be the CP of one article,

Therefore,

Cost price for -

=> $6$ articles are $6x$ and

=> $4$ articles are $4x.$

According to the question, $CP$ of  $6$ articles is same to $SP$ of $4$ articles

Therefore,

=>  $SP$ of $4$ articles = $6x$

As we know that,

$Gain\%=\frac{SP-CP}{CP}\times 100$

Now, put all the values in the above formula.

$=>\frac{6x-4x}{4x}\times 100$

$=>\frac{2x}{4x}\times 100$

$=>50\%$

Hence, the gain percent is $50\%$.