Question

By selling an article for 230, a man makes a profit of 15%. What would his profit percent bo
if he sold the article for 300.​

Answer 1

✬ Profit % = 50 % ✬

Step-by-step explanation:

Given:

• Selling Price of an article is Rs 230.
• Profit percent is 15 %.

To Find:

• What would be the profit percent for man if he sold the article for Rs 300?

Solution: Here,

• S.P = Rs 230.
• Profit % = 15 %.
• C.P = ?

To find Cost Price when S.P and Profit % are given the formula is-

★ C.P = ( 100 x S.P / 100 + Profit % ) ★

$\implies{\rm }$ C.P = Rs ( 100 x 230 / 100 + 15 )

$\implies{\rm }$ C.P = Rs ( 23000/115 )

$\implies{\rm }$ C.P = Rs 200.

So, The cost price of the article is Rs 200.

On comparing both C.P and S.P, we get ,

• S.P > C.P ( There is a profit )

★Profit =( Selling Price – Cost Price )★

➱ Profit = Rs ( 300 – 200 )

➱ Profit = Rs 100.

∴ Profit % = ( Profit/C.P x 100 )

$\implies{\rm }$ Profit % = ( 100/200 x 100 )

$\implies{\rm }$ Profit % = 10000/200

$\implies{\rm }$ Profit % = 50%

Hence, the profit percent for selling the article at 300 is 50%.

Answer 2

GIVEN:

• Selling price of an article = 230
• Profit % of article = 15%

TO FIND:

• What is the profit % if he sold the article for Rs. 300 ?

SOLUTION:

Selling price of an article is Rs. 230 and profit % of article is 15%

To find the C.P. of the article, we use the formula:-

$\bf{ \star \: C.P. = (\large\frac{100}{100 + Gain \% }) \times S.P. \: \star }$

According to question:-

$\rm{\implies C.P. = (\large\frac{100}{100 + 15 }) \times 230 }$

$\rm{\implies C.P. = (\large\frac{100}{115 }) \times 230 }$

$\rm{\implies C.P. = \large\frac{23000}{115 } }$

⠀⠀$\bf{\star\: C.P. = Rs. \: 200 \: \star }$

❛ C.P. of an article is Rs. 200. ❜

● C.P. of article = Rs. 200

● S.P. of article = Rs. 300

Therefore,

⠀⠀⠀$\bf{ S.P. > C.P. }$

$\bf{\star \: Profit = S.P. - C.P. \: \star}$

$\rm{\implies Profit = 300 - 200}$

⠀⠀$\bf{\star \: Profit = Rs. \: 100\: \star}$

we know that the formula for finding the Profit% of article is:-

$\bf{ \star \: Profit \% = (\large\frac {Profit \times 100}{C.P.}) \: \star }$

According to question:-

$\rm{\implies Profit \% = (\large\frac {100 \times 100}{200}) }$

$\rm{\implies Profit \% = (\large\frac {100 }{2}) }$

⠀⠀$\bf{ \star \: Profit \% = 50 \% }$

❛ Hence, the profit % of an article is 50% ❜

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