The cost price of a car is $R s 5, 00, 000$ . The salesperson marks it $10 %$ above the cost price. Then, the car is sold at a discount of $5 %$ . Find the profit and profit percentage.

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Solution

Given:
$C . P = R s 5, 00, 000$
Market price $= C P + (C P \times \frac{10}{100})$
$= 500000 + 500000 \times \frac{10}{100}$
$= R s . 550000$
Discount $= 5 %$
therefore, Discount $= 5 %$ of $C . P$
$= \frac{5}{100} \times 5, 50, 000$
$= R s 27, 500$
S.P $=$ M.P $-$ Discount
$\Rightarrow$ S.P $= R s . 550000 - R s 27, 500$
$\Rightarrow$ S.P $= R s . 522500$
Clearely, S.P $>$ C.P
$\Rightarrow$ Profit $= R s . 522500 - R s . 500000$
$= R s . 22, 500$
Profit percentage $= \frac{Profit}{C.P} \times 100$
$= \frac{22500}{500000} \times 100$
$= 4.5$
Hence, Profit percentage is $4.5 %$ .

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The cost price of a car is Rs 5,00,000. The salesperson marks it 10% above the cost price. Then, the car is sold at a discount of 5%. Find the profit and profit percentage.

The cost price of a car is $R s 5, 00, 000$ . The salesperson marks it $10 %$ above the cost price. Then, the car is sold at a discount of $5 %$ . Find the profit and profit percentage.