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 CShow Answer
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,
$\begin{array}{l}\frac{75\times\mathrm{x}}{100}=1440\times\frac{125}{100}\\
\Rightarrow\frac{1440\times125}{75}=Rs.2400\end{array}$
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