Question

A dealer buys a car listed at Rs. $200000$ at successive discounts of $5$ $\%$ and $10$ $\%$. If he sells the car for Rs. $179550$, then his profit is

• A. $10$ $\%$
• B. $9$ $\%$
• C. $5$ $\%$
• D. $4$ $\%$

Answer 1

Answer: (C)

$5$ $\%$

CP, of the car $=$ $95\%$ of $90\%$ of Rs. $200000$

$\Rightarrow \frac{95}{100}\times \frac{90}{100}\times 200000$
$\Rightarrow 95\times 90\times 20=Rs171000$
S.P. of the car $=$ Rs. $179550$
$\therefore$ Profit $\%$ $=(\frac{(179550-171000)}{171000}\times 100)$ $\%$
$=(\frac{8550}{171000}\times 100)$% $=$ $5$%