Question

Monte Carlo is offering a summer discount of 20% on all the sweaters. Ram buys sweaters which cost him Rs. 3000/- and then resold them in his shop at a discount of 10% on the market price. Find the total profit he earned.


Spams =report ​

Answer 1

$\large \; {\underline{\underline{\maltese \; {\purple{\pmb{\sf{ Given \; :- }}}}}}}$

• Discount offered on sweaters = 20 %
• Cost price of the Sweater = Rs.3000
• Discount offered at Resold = 10 %

$\\ {\underline{\rule{200pt}{3pt}}}$

$\large \; {\underline{\underline{\maltese \; {\red{\pmb{\sf{ To \: Find \; :- }}}}}}}$

• Profit earned by Ram = ?

$\\ {\underline{\rule{200pt}{3pt}}}$

$\large \; {\underline{\underline{\maltese \; {\color{darkblue}{\pmb{\sf{ Solution \; :- }}}}}}}$

${\pink{⚝}}$ Formula Used :

• ➳ Discount :

${\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\orange{\sf{ Discount = \dfrac{Discount \; \% \times Cost \; Price }{100} }}}}}$

• ➳ Selling Price :

${\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\orange{\sf{ Selling \; Price = Marked \; Price - Discount }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\pink{⚝}}$ Calculating the Selling Price at the Shop :

• ➙ Discount :

${\longmapsto{\qquad{\sf{ Discount{\small_{(Shop)}} = \dfrac{Discount \; \% \times Cost \; Price }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount{\small_{(Shop)}} = \dfrac{20 \times 3000 }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount{\small_{(Shop)}} = \dfrac{60000 }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount{\small_{(Shop)}} = \cancel\dfrac{60000 }{100} }}}} \\ \\ \ {\qquad{\textsf{ Discount at the Shop = {\green{\sf{ ₹ \; 600 }}}}}}$

• ➙ Selling Price :

${\dashrightarrow{\qquad{\sf{ Selling \; Price{\small_{(Shop)}} = Marked \; Price - Discount }}}} \\ \\ \ {\dashrightarrow{\qquad{\sf{ Selling \; Price{\small_{(Shop)}} = 3000 - 600 }}}} \\ \\ \ {\qquad{\textsf{ Selling Price of the Sweater = {\red{\sf{ ₹ \; 2400 }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\pink{⚝}}$ Calculating the Selling Price at the Ram's Shop :

• ➙ Discount :

${\longmapsto{\qquad{\sf{ Discount{\small_{(Ram's \; Shop)}} = \dfrac{Discount \; \% \times Cost \; Price }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount{\small_{(Ram's \; Shop)}} = \dfrac{10 \times 3000 }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount = \dfrac{30000 }{100} }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Discount{\small_{(Ram's \; Shop)}} = \cancel\dfrac{30000 }{100} }}}} \\ \\ \ {\qquad{\textsf{ Discount at the Ram's Shop = {\pink{\sf{ ₹ \; 300 }}}}}}$

• ➙ Selling Price :

${\dashrightarrow{\qquad{\sf{ Selling \; Price{\small_{(Ram's \; Shop)}} = Marked \; Price - Discount }}}} \\ \\ \ {\dashrightarrow{\qquad{\sf{ Selling \; Price{\small_{(Shop)}} = 3000 - 300 }}}} \\ \\ \ {\qquad{\textsf{ Selling Price of the Sweater = {\color{darkblue}{\sf{ ₹ \; 2700 }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\pink{⚝}}$ Calculating the Profit :

${:\implies{\qquad{\sf{ Profit = Selling \; Price{\small_{(Ram's \; Shop)}} - Selling \; Price{\small_{( Shop)}} }}}} \\ \\ \ {:\implies{\qquad{\sf{ Profit = 2700 - 2400 }}}} \\ \\ \ {\qquad{\textsf{ Profit earned by Ram = {\purple{\sf{ ₹ \; 300 }}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\pink{⚝}}$ Therefore :

❝ Ram earned a Profit of ₹ 300 on the Sweater . ❞

$\begin{gathered} \\ {\red{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}{\orange{\underline{\rule{75pt}{9pt}}}}\end{gathered}$

Answer 2

Given : Monte Carlo is offering a summer discount of 20% on all the sweaters.

Ram buys sweaters which cost him Rs. 3000/- and then resold them in his shop at a discount of 10% on the market price.

To Find :  the total profit he earned.

Solution:

Market Price  =  x  rs

20 % Discount = (20/100)x = 0.2x  rs

Price after Discount = x  - 0.2x = 0.8x  rs

0.8x  = 3000

=> x = 3750  

Market Price   = 3750 rs

10% discount = (10/100)3750 = 375 Rs

SP = 3750 - 375  =  3375 rs

CP = Rs 3000

Profit = 3375 - 3000 = Rs 375

Profit % = (375 / 3000) * 100

= 12.5

the total profit he earned. = 12.5 %   or Rs 375

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