Question

The cost price of car is Rs 500000 . The sales person marks it 10%above the cost price then . The car discount of 5%. Find the profit and profit%

Answer 1

Step-by-step explanation:

Given:-

• Cost price of the car = Rs.500000

• Marked price is 10% above th upe cost price.

• Discount = 5%

To Find:-

• The Profit and Profit%

Solution:-

$\sf C.P \: of\: the\: car = Rs.500000$

$\sf MP = CP + 10\% \: of\: CP$

$\sf \: \: \: \: \: \: = 500000 + \dfrac{10}{100} \times 500000$

$\sf \: \: \: \: \: \: = 500000 + 50000$

$\sf \: \: \: \: \: \: = 550000$

$\sf \therefore Marked\: price \: of\: the\: car \: (MP) = Rs.5,50,000$

$\sf Given, \: Discount = 5\%$

$\sf Discount = 5\% \: of \: MP$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \dfrac{5}{100}\times 550000$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 27500$

$\sf \therefore Discount = Rs.27,500$

$\sf SP\: of \: the\: car = Marked \: price - Discount$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 550000 - 27500$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 522500$

$\sf Profit = SP - CP$

$\: \: \: \: \: \: \: \: \: \: \: \: = 522500 - 500000$

$\: \: \: \: \: \: \: \: \: \: \: \: = 22500$

$\dashrightarrow\underline{\boxed{\sf \therefore Profit = Rs.22500}}$

$\sf Profit\% = \dfrac{Profit}{CP}\times 100$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: = \dfrac{22500}{500000}\times 100$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: =4.5\%$

$\dashrightarrow\underline{\boxed{\sf \therefore Profit\% = 4.5\%}}$