Question

The cost price of an article is $x$. It is marked up by $150$%. It is sold at Rs. $600$ after giving $40$% discount. What is $x$ (in Rs.)?

• A. $494.44$
• B. $666.66$
• C. $840$
• D. $942$

Answer 1

Answer: (B)

$666.66$

Given that, the cost price of an article is $Rs.x$. It is marked up by $150\%$ and sold at $Rs.600$ after a discount of $40\%$.

To find out: The value of $x$.

$C.P.=Rs.x$

Hence, marked price $(M.P.)=150\%ofx=Rs.1.5x$

We know that,

$S.P.=\frac{100-\%\text{discount}}{100}\times M.P.$

$\therefore 600=\frac{100-40}{100}\times 1.5x$

$\Rightarrow 600=\frac{6}{10}\times 1.5x$

$\Rightarrow 1.5x=1000$

$\Rightarrow x=\frac{1000}{1.5}=\frac{10000}{15}$

$\therefore x=666.66$

Hence, the cost price of the article $\left(x\right)$ is $Rs.666.66$.