Question

Please i am asking this question second time please answer correct​

Answer 1

Question :

The selling price of an article is Rs. 25,000 and it's cost Price is ⅗ of its selling price. Find the gain or loss of the article.

Given :

• Selling Price = Rs. 25,000

• Cost Price of the article = ⅗ of selling price.

To find :

The profit or loss percentage of the article .

Solution :

According to the given information, the cost price is ⅗ of the selling price , so here we can find the cost price of the article.

A/c,

$\boxed{:\implies \bf{CP = \dfrac{3}{5}\:of\:SP}}$

Now, using the above formula and substituting the values in it, we get :

$:\implies \bf{CP = \dfrac{3}{5} \times 25,000}$

$:\implies \bf{CP = 3 \times 5,000}$

$:\implies \bf{CP = 15,000}$

$\underline{\therefore \bf{Cost\:Price = Rs.15,000}}$

Hence the cost price of the article is Rs. 15000.

Since, the cost price is lesser than the selling price , it's a profit.

We know that :-

$:\implies \bf{P = SP - VP}$

$:\implies \bf{P = 25000 - 15000}$

$:\implies \bf{P = 10000}$

$\boxed{\therefore \bf{P = 10000}}$

Hence, the profit gained is Rs. 10000.

Now , using the formula for Profit Percentage and substituting the values in it, we get :

$:\implies \bf{P = \bigg(\dfrac{P}{CP} \times 100\bigg)\%}$

$:\implies \bf{P = \bigg(\dfrac{10000}{15000} \times 100\bigg)\%}$

$:\implies \bf{P = \bigg(\dfrac{10}{15} \times 100\bigg)\%}$

$:\implies \bf{P = \bigg(\dfrac{2}{3} \times 100\bigg)\%}$

$:\implies \bf{P = \bigg(\dfrac{200}{3} \times 100\bigg)\%}$

$:\implies \bf{P = 66\dfrac{1}{3}\%}$

$\boxed{\therefore \bf{P = 66\dfrac{1}{3}\%}}$

Hence, the profit Percentage is 66½ %.

Answer 2

Answer:

▪︎Given -:

Selling price of an article = Rs.25,000

Cost price of the article to its selling price in fraction = $\dfrac{3}{5}$

▪︎To find -:

Gain or loss percent of the article

▪︎Taken -:

See , find find the cost price of the article :

$\boxed{CP=\dfrac{3}{5}×25,000}$

Now , after finding the Cost Price just find the profit or loss . To find profit or loss just use this formula .

If profit :

$P=S.P-C.P$

If loss :

$L=C.P-S.P$

After the loss or profit will come then find the loss or profit % . Use this formula to find loss or profit percent.

If profit :

To find profit percent :

$Pp=\dfrac{P×100}{C.P}$

Here , Pp is Profit percent .

If loss :

To find loss percent :

$Lp=\dfrac{L×100}{C.P}$

Here , Lp is Loss percent .

▪︎Solution -:

• First cost price :

$\implies{C.P=\dfrac{3}{5}×25,000}$

$\implies{C.P=3×5,000}$

$\implies{C.P=15,000}$

So , the cost price is ₹ 15,000 .

And after selling the article it has gain .

• Now , find profit :

$\implies{P=25,000-15,000}$

$\implies{P=10,000}$

So , the profit is ₹ 10,000 .

• At last , find the profit percent :

$\implies{Pp=\dfrac{10,000×100}{15,000}}$

$\implies{Pp=\dfrac{10×100}{15}}$

$\implies{Pp=\dfrac{1000}{15}}$

$\implies{Pp=\dfrac{200}{3}}$

$\implies{Pp=66.66(approx)\:percent}$

▪︎Answer -:

So , the gain percent in the article is 66.66 (approx) % .