Question

If a radio is sold at Rs. $972$, then profit is $8\%$. If it is sold at Rs. $872$, then there is a loss of

• A. Rs. $28$
• B. Rs. $25$
• C. Rs. $20$
• D. Rs. $15$

Answer 1

Answer: (A)

Let the cost price of the radio is $Rs.x$.

Condition I:-

Selling price of radio $=Rs.972$

Profit $\%=8\%$

Therefore,

$972-x=\frac{8}{100}x$

$\Rightarrow \frac{2}{25}x+x=972$

$\Rightarrow \frac{2x+25x}{25}=972$

$\Rightarrow x=\frac{972}{27}\times 25$

$\Rightarrow x=900$

Hence the cost price of radio is $Rs.900$

Condition II:-

Selling price of radio $=Rs.872$

Cost price of radio $=Rs.900\left(\text{Given}\right)$

Therefore,

Loss $=$ Cost price $-$ Selling price

$\therefore$ Loss $=900-872=Rs.28$

Hence when the radio is sold at $Rs.872$, then there is a loss of $Rs.28$.