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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 Examveda 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,
$$\frac{{{\text{75}} \times {\text{x}}}}{{100}} = 1440 \times \frac{{125}}{{100}}$$
⇒ $$\frac{{1440 \times 125}}{{75}}$$  = Rs. 2400

This Question Belongs to Arithmetic Ability >> Profit And Loss

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Comments ( 3 )

  1. Kranthi Kiran
    Kranthi Kiran :
    6 months ago

    X×100/12100/75=1440
    X=2400

  2. Uzair Nisar
    Uzair Nisar :
    3 years ago

    it should be
    1440/75*100=1920
    1920/75*100=2560
    marked price 2560

  3. Pratibha Srivastav
    Pratibha Srivastav :
    7 years ago

    simply u fins S.P. (1440 X 125/100 = 1800)
    THEN U KNOW THAT discount on M.P. = S.P.
    SO THAT,,,,, M.P X 75/100 =1800
    1800 X 100/75 =2400 ans

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