Question

By selling an article for Rs. $24$, a trader loses as much per cent as the cost price of the article. Calculate the cost price.

• A. $40$
• B. $20$
• C. $80$
• D. 60

Answer 1

Answer: (A), (D)

The correct options are
A $40$
D 60

Lets assume the cost price of the article $=x$

So, Loss $\%=x\%$

SP $=24$ Rs

So, Loss $\%=\frac{CP-SP}{CP}\times 100$

$\Rightarrow x=\frac{x-24}{x}\times 100$

$\Rightarrow x^2=-2400+100x$

$\Rightarrow x^2-60x-40x+2400=0$

$\Rightarrow (x-60)(x-40)=0$

$\Rightarrow x=60$ or $40$

Answer: $40$