SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is

    A) Rs. 20 per kg

    B) Rs. 22.50 per kg

    C) Rs. 25 per kg

    D) Rs. 27.50 per kg

    Correct Answer: D

    Solution :

    [d] Let the original price be Rs. x per kg New price per kg \[=\text{Rs}.\left( \frac{80}{100}\times x \right)\]                         \[=\text{Rs}.\frac{4x}{5}\] \[\frac{385}{\frac{4x}{5}}-\frac{385}{x}=3.5\] \[\Rightarrow \]   \[\frac{1925}{4x}-\frac{385}{x}=\frac{7}{2}\] \[\Rightarrow \]   \[(1925-1540)=14x\] \[\Rightarrow \]   \[14x=385\] \[\Rightarrow \]   \[2x=55\] \[\Rightarrow \]   \[x=\frac{55}{2}=27.50\] Hence, the original price of the rice is Rs. 27.50 per kg.


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