Question

By selling an article for rs285 a man loses 5%.for how much should he sell to gain 5%.

Answer 1

$\mathfrak{\large{\underline{\underline{\purple{Answer :-}}}}}$

The Selling Price should be Rs. 315 to get profit of 5%.

$\mathfrak{\large{\underline{\underline{\purple{Explanation :-}}}}}$

Given :

Selling the article at = Rs. 285 makes a Loss of 5%

To Find :

Selling price to gain 5%

Solution :

$\textbf{Case I}$

Here,

• Selling Price (SP) = 285
• Loss % = 5%
• Cost Price (CP) = ?

Find the Cost Price of the article

★ ${\boxed{\sf\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\sf{\implies} \: CP = \dfrac{100}{100 - 5} \times 285$

$\sf{\implies} \: CP = \dfrac{100}{95} \times 285$

$\sf{\implies} \: CP = \dfrac{28500}{95}$

$\sf{\implies} \: CP = 300$

Cost Price of the article is Rs. 300

$\rule{300}{1.5}$

$\textbf{Case II}$

Here,

• Selling Price (SP) = ?
• Cost Price (CP) = 300..... [ from above ]
• Profit % = 5%

★ ${\boxed{\sf\:{SP = \frac{(100 + profit\%)}{100} \times CP}}}$

$\sf{\implies} \: SP = \dfrac{100 + 5}{100} \times 300$

$\sf{\implies} \: SP = \dfrac{105}{100} \times 300$

$\sf{\implies} \: SP = \dfrac{315{\cancel{00}}}{1\cancel{00}}$

$\sf{\implies} \: SP =315$

Selling Price = Rs. 315

$\therefore$ The Selling Price should be Rs. 315 to get profit of 5%.

Answer 2

Answer:

The Selling Price should be Rs. 315 to get profit of 5%.

Step-by-step explanation:

Given:

=>The selling price of the article sold by the man is Rs. 285

=>The loss percentage of the man on selling the said article is 5%

To find:

=>Selling price to make profit of 5%  = ?

Solution:

=>Let us take S.P. = Rs. 285

=>The loss percentage = 5%

Now the owner wants to make a profit of 5%,  

So, how will he profit from the transaction.

The formula for loss percentage:

Loss% = (C.P-S.P/C.P x 100)

The formula for profit percentage:

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

Putting the values in respective positions,

Loss% = (C.P-S.P/C.P x 100)

5 = (C.P - 285 /C.P x 100) =  C.P = Rs 300/-

The cost price of the article is Rs 300/-

Now with the cost price of the article being Rs 300/-

The Selling Price of the article that would fetch a profit of 5% is:

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

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

=>S.P = 100+5/100 x 300

=> S.P = 105/100 x 300

=>S.P = 31500 / 100

=> S.P = 315 (Answer)

∴Hence,the Selling Price should be Rs. 315 to get profit of 5%