Question

Anu earns a profit or 18% by selling an article at a certain price. If she were to sell it for 10.50 more, she would have gained 25%. The original cost price of 12 such articles is

★Dont spam ★
★Spammers stay away from here★

Brainly stars and moderators will answer
or

@SwordArtonline
@Take name
@Itzheartcrazer
​

Answer 1

Answer:-

Let the Original CP of one article be Rs. x.

Given:

Profit on selling at a certain price = 18%.

We know that,

SP = CP × (100 + Profit%)/100

So,

⟹ SP of one article = x * (100 + 18)/100

⟹ SP of one article = Rs. 118x/100

Also given that,

If it is sold for Rs. 10.50 more, she would have gained 25%.

Now,

The SP of the Article = Rs. (118x/100 + 10.50)

And, Profit = 25%.

So,

⟹ 118x/100 + 10.50 = CP × (100 + Profit%)/100

⟹ (118x + 1050)/100 = x * (100 + 25)/100

⟹ 118x + 1050 = 125x

⟹ 1050 = 125x - 118x

⟹ 1050 = 7x

⟹ 1050/7 = x

⟹ Rs. 150 = x

∴

• Cost Price of 12 such articles = 12 × x = 12 × 150 = Rs. 1800

Answer 2

Answer:

Given :-

• Anu earns a profit of 18% by selling an article at a certain price. If she were to sell it for 10.50 more, she would have gained 25%.

To Find :-

• What is the original cost price of 12 such articles.

Formula Used :-

$\clubsuit$ Selling Price Formula :

$\mapsto \sf\boxed{\bold{\pink{SP =\: \bigg(\dfrac{100 + P\%}{100}\bigg) \times CP}}}$

where,

• SP = Selling Price
• P = Profit
• CP = Cost Price

Solution :-

First, we have to find the selling price or SP of one such articles :

Let,

$\mapsto$ Cost Price of one such articles be y.

Given :

• Profit = 18%

According to the question by using the formula we get,

$\implies \sf Selling\: Price\: of\: one\: such\: articles =\: \bigg(\dfrac{100 + 18}{100}\bigg) \times y$

$\implies \sf Selling\: Price\: of\: one\: such\: articles =\: \bigg(\dfrac{118}{100}\bigg) \times y$

$\implies \sf \bold{\purple{Selling\: Price\: of\: one\: such\: articles =\: \bigg(\dfrac{118y}{100}\bigg)}}$

Again, we have to find the selling price of an articles :

$\mapsto$ She were to sell it for Rs 10.50 more.

$\implies \sf \bold{\purple{Selling\: Price =\: \bigg(\dfrac{118y}{100} + 10.50\bigg)}}$

Again,

$\mapsto$ Gained or profit = 25%

According to the question by using the formula we get,

$\implies \sf y \times \dfrac{100 + 25}{100} =\: \dfrac{118y}{100} + 10.50$

$\implies \sf y \times \dfrac{125}{100} =\: \dfrac{118y}{100} + \dfrac{1050}{100}$

$\implies \sf \dfrac{125y}{100} =\: \dfrac{118y + 1050}{100}$

By doing cross multiplication we get,

$\implies \sf 12500y =\: 11800y + 105000$

$\implies \sf 12500y - 11800y + 105000$

$\implies \sf 700y =\: 105000$

$\implies \sf y =\: \dfrac{1050\cancel{00}}{7\cancel{00}}$

$\implies \sf y =\: \dfrac{\cancel{1050}}{\cancel{7}}$

$\implies \sf\bold{\green{y =\: Rs\: 150}}$

Now, we have to find the original cost of price of 12 such articles :

$\longrightarrow \sf Original\: cost\: of\: 12\: articles =\: Rs\: 12y$

$\longrightarrow \sf Original\: cost\: of\: 12\: articles =\: Rs\: 12(150)$

$\longrightarrow \sf\bold{\red{Original\: cost\: of\: 12\: articles =\: Rs\: 1800}}$

$\therefore$ The original cost price of 12 such articles is Rs 1800.