Question

By selling a table for ₹24, a trader loses as much percent as the cost price of the table. Calculate the cost price.

• A. ₹60
• B. ₹30
• C. ₹40
• D. ₹20

Answer 1

Answer: (A), (C)

The correct options are
A

₹60

C

₹40

Let C.P. of the table be ₹.x

$\because$ Loss =$\frac{\text{Loss\%}}{100}$ $\times$ C.P.
$\Rightarrow$ Loss = $\frac{x}{100}\times x=₹\frac{x^2}{100}$

$\because$ S.P = C.P - Loss
$\Rightarrow$ $x-\frac{x^2}{100}=24$

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

$\Rightarrow x^2-100x+2400=0$

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

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

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

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

$\Rightarrow x=60or40$

$\therefore$ C.P. of the table is ₹60 or ₹40