If the selling price of an article is Rs. 2,800/- is sold at 10% T.D. and 5% C.D.; Find the
catalogue price.
Answers
Step-by-step explanation:
Correct Question :
The marked price of an article was rs. 2,800 which was 40% above the cost price. If it was sold by allowing a 20% discount, what will be the profit percent?
AnswEr :
Marked Price ( MP ) = Rs. 2800
40% above Cost Price ( CP )
• Calculation of cost price of article :
\begin{gathered}\longrightarrow \tt CP \times (100 + 40)\%= MP \\ \\\longrightarrow \tt CP \times 140\%= 2800 \\ \\\longrightarrow \tt CP \times \dfrac{140}{100} = 2800 \\ \\ \longrightarrow \tt CP = \cancel{2800} \times \dfrac{100}{ \cancel{140}} \\ \\\longrightarrow \tt CP = 20 \times 100 \\ \\\longrightarrow \purple{\tt CP =Rs.\:2000}\end{gathered}
⟶CP×(100+40)%=MP
⟶CP×140%=2800
⟶CP×
100
140
=2800
⟶CP=
2800
×
140
100
⟶CP=20×100
⟶CP=Rs.2000
◗ Cost Price of the Article is Rs. 2000
\rule{300}{1}
Marked Price ( MP ) = Rs. 2800
Discount% = 20%
• Calculation of selling price of article :
\begin{gathered}\longrightarrow \tt SP = MP \times (100 - Discount)\% \\ \\\longrightarrow \tt SP = MP \times (100 - 20)\%\\\\\longrightarrow \tt SP = 2800 \times 80\% \\ \\\longrightarrow \tt SP = 28 \cancel{00} \times \dfrac{80}{ \cancel{100}} \\ \\\longrightarrow \tt SP = 28 \times 80 \\ \\\longrightarrow \purple{\tt SP =Rs.\:2240}\end{gathered}
⟶SP=MP×(100−Discount)%
⟶SP=MP×(100−20)%
⟶SP=2800×80%
⟶SP=28
00
×
100
80
⟶SP=28×80
⟶SP=Rs.2240
◗ Selling Price of the Article is Rs. 2240
\rule{300}{2}
\begin{gathered}\implies \tt Gain\% = \dfrac{Gain}{CP} \times 100 \\ \\\implies \tt Gain\% = \dfrac{SP-CP}{CP} \times 100 \\ \\\implies \tt Gain\% = \dfrac{2240-2000}{20 \cancel{00}} \times \cancel{100}\\ \\\implies \tt Gain\% = \cancel\dfrac{240}{20} \\ \\\implies \boxed{ \red{ \tt Gain\% =12\%}}\end{gathered}
⟹Gain%=
CP
Gain
×100
⟹Gain%=
CP
SP−CP
×100
⟹Gain%=
20
00
2240−2000
×
100
⟹Gain%=
20
240
⟹
Gain%=12%
⠀
∴ Gain Percentage on Article is 12%