Question

AP-39
By selling an article for 285 a dealer incurs a loss of 5%. At what price he should it
sell it so as to make a profit of 10%?
In the first​

Answer 1

Answer:

Answer:−

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

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

Explanation:−

Given :

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

To Find :

Selling price to gain 5%

Solution :

\textbf{Case I}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}}}

CP=

(100−loss%)

100

×SP

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

100−5

100

×285

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

95

100

×285

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

95

28500

\sf{\implies} \: CP = 300⟹CP=300

Cost Price of the article is Rs. 300

\rule{300}{1.5}

\textbf{Case II}Case II

Here,

Selling Price (SP) = ?

Cost Price (CP) = 300..... [ from above ]

Profit % = 5%

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

SP=

100

(100+profit%)

×CP

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

100

100+5

×300

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

100

105

×300

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

1

00

315

00

\sf{\implies} \: SP =315⟹SP=315

Selling Price = Rs. 315

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