Question

Ramesh bought a jeep for ₹5,60,000 and accessories for ₹15,000.Together he sold them for ₹7,00,000. Find his profit percentage
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Answer 1

★Answer :-

$\sf \: \bigstar { \bf\: 21 \dfrac{17}{23} \% }\: is \: the \: profit \: percentage.$

★Step-by-step-Explaination :-

Given :-

• Ramesh brought a jeep for ➸ Rs. 5,60,000 .
• The Parts of Jeep (i.e. it's accessories) cost ➸ Rs. 15,000 .
• Ramesh sold the car at total of ➸ Rs. 7,00,000 .

Find :-

• His Profit Percentage .

★Finding out the Total C.P. on the car :-

• His Total C.P. of the Jeep ➸ ( Rs. 5,60,000 + Rs. 15,000 )
• His Total C.P. of the Jeep ➸ Rs. 5,75,000 .

∴ His Total C.P. on Jeep is  Rs. 5,75,000 .

★His Profit made on the Car :-

• His C.P. on Jeep is  ➸ Rs. 5,75,000 .
• His S.P. on Jeep is ➸ Rs. 7,00,000 .
• His Profit ➸ S.P. - C.P.
• Profit ➸ Rs.( 7,00,000 - 5,75,000 )
• Profit ➸ Rs. 1,25,000 .

Therefore , His Profit on Jeep is Rs. 1,25,000 .

★Now Finding Profit Percentage :-

• Profit on his Jeep ➸ Rs. 1,25,000 .
• His C.P. on the Jeep ➸ Rs. 5,75,000 .

Therefore , Profit Percentage is :-

$\rm \: P \% = \dfrac{ P}{ C.P. } \times 100 \%$

$\rm \: P \% = \dfrac{ 1 ,25,000}{ 5 ,75 ,000} \times 100 \%$

After cancelling ,

$\rm \: P \% = \dfrac{ 1 25}{ 5 75} \times 100 \%$

$\rm \: P \% = \dfrac{ 5}{ 23} \times 100 \%$

$\rm \: P \% = \dfrac{ 500}{ 23} \%$

Converting to improper Fraction ,

$\rm \: \bf \: P \% = 21\dfrac{ 17}{ 23} \%$

Hence ,

$\sf \bigstar \underline{\bf \: \: Profit \: Percentage \: is \: \bf \: P \% = 21\dfrac{ 17}{ 23} \% }$

★Additional Information !!

• $\sf Profit = S.P.-C.P.$
• $\sf Loss = C.P. - S.P.$
• $\sf \bigg(Profit\;percentage= \dfrac {Profit}{Cost \;Price}\times 100\%\bigg)$
• $\sf \bigg(Loss\;percentage= \dfrac {Loss}{Cost \;Price}\times 100\%\bigg)$
• If there is a profit of p% , Then

S.P. = C.P. + Profit = C.P. + p% of C.P.

$\sf =C.P.+\dfrac {P}{100}of\; C.P. =\bigg(1+\dfrac{P}{100} of\;C.P.\bigg)$

• If there is a loss of l% , Then

S.P. = C.P. - loss  = C.P. + l% of C.P.

$\sf =C.P.-\dfrac {L}{100}of\; C.P. =\bigg(1-\dfrac{L}{100} of\;C.P.\bigg)$

• If C.P. and S.P. are given for different number of articles , first find C.P. and S.P. of equal number of articles and then calculate profit or loss percentage .
• $\rm Selling \;Price =Marked \;Price-Discount$
• Discount is always given on M.P.(Marked Price).
• $\rm Discount=Marked\;Price\;-Selling \;Price$
• $\rm Discount \;Percentage=\bigg(\dfrac{Discount}{Marked\;Price\time}\times 100\bigg)\%$
• If the discount is d% , Then

S.P. =M.P. - Discount = M.P. - d% of M.P.

$\rm = M.P. -\dfrac{d}{100}\;of\;M.P.=\bigg(1-\dfrac{d}{100} of\;M.P.\bigg)$

• Succesive Discounts :- Suppose a discount of 10% is given on the M.P. of an article and a further discount of another 15% is given on the reduced price , then we can say that two Succesive discounts are given .
• $\sf If \;two\; Succesive\; Discounts \;are \; D_1\%\; and\; D_2\% , Then ,$

$\sf S.P. =\bigg(1-\dfrac{d_1}{100}\bigg)\bigg(1-\dfrac{d_2}{100}\bigg) of\;M.P.$

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