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CLAT Sample Paper CLAT Sample Paper-9

  • question_answer
    A reduction of 20% in the price of sugar enables a purchaser to obtain 3 kg more for Rs 120. The original price (per kg) of sugar is

    A)  Rs 15             

    B)         Rs 12  

    C)         Rs 10               

    D)         Rs 8

    Correct Answer: C

    Solution :

    Let original rate be \[\text{Rs}\] \[x\] per kg. New are = 80% of \[x=\left( \frac{80}{100}x \right)=\text{Rs}\frac{4x}{5}\] and original quantity for \[\text{R}s\,120=\frac{120}{x}\] new quantity \[=120\times \frac{5}{4x}=\frac{150}{x}\] \[\therefore \]      \[\frac{150}{x}-\frac{120}{x}=3\] \[\Rightarrow \]   \[\frac{30}{x}=3\] \[\Rightarrow \]   \[x=\frac{30}{3}=\text{Rs}\,10\] Hence, original rate is Rs 10 per kg.


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