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 cost price (CP) of the table be ₹ x.

$\therefore$ Loss = x% of CP = $\frac{x}{100}\times x=Rs.\frac{x^2}{100}$

$\therefore$ $x-\frac{x^2}{100}=24$

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

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

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

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

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

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

$\Rightarrow$ $x=60orx=40$

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