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Doubt & Answer Explanation

Doubt

A reduction of  25% in the price of rice enables a customer to obtain 3 kg. more for Rs. 189. what is the original price of rice per kg. ? 

Answer Explanation

Let the original price = P and original quantity consumed = C
  189  = P . C    (1)
 Now price reduces by 25% and quantity increases by 3 kg
    189 = 0.75P . (C+3)   (2)
Divide (1) by (2)
 1 = C/(0.75)(C+3)
0.75C + 2.25 = C
    2.25 = 0.25C
    C = 9
 Original price = 189/9 = 21
       

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