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
Answers
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%.