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SSC Quantitative Aptitude Profit and Loss Question Bank Profit Loss and Discount (II)

  • question_answer
    A shopkeeper sells a transistor at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for Rs. 6 more, he would have gained 10%. The cost price of the transistor is

    A) Rs. 800

    B) Rs. 1000

    C) Rs. 1200

    D) Rs. 1400

    Correct Answer: C

    Solution :

    [c] Let cost price of transistor = Rs. x According to the question, CP of transistor \[=x\times \frac{105}{100}\] and SP of transistor\[=\left( \frac{115x}{100}+6 \right)\] \[\therefore \] Profit percentage \[=\frac{SP-CP}{CP}\times 100\] \[\Rightarrow \]   \[10=\frac{\frac{115x}{100}+6-\frac{105x}{100}}{\frac{105x}{100}}\times 100\] \[\Rightarrow \]   \[10=\frac{(10x+600)\,100}{105x}\] \[\Rightarrow \]   \[105x=100x+600\]\[\Rightarrow \]\[5x=6000\] \[\therefore \]      x = Rs. 1200


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