### A dealer allows his customer a discount of 25% and still gains 25%. If cost price of a radio is Rs. 1440, its marked price is:

A. Rs. 2500 B. Rs. 2440 C. Rs. 2400 D. Rs. 2020 Answer: Option C

### Solution(By Apex Team)

Let MP = X CP = 1440 SP = 1440 + 25% of 1440 = Rs. 1800 SP = MP – 25% of MP SP = X – 25% of 100 SP = X – 0.25X 1800 = 0.75X X = 2400 MP = Rs. 2400 Short-Cut Let the marked price = Rs. x Hence, $\begin{array}{l}\frac{75\times\mathrm{x}}{100}=1440\times\frac{125}{100}\\ \Rightarrow\frac{1440\times125}{75}=Rs.2400\end{array}$

## Related Questions on Profit and Loss

A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51

A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000

### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%