SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    Rs. 395 are divided among A, B and C in such a manner that B gets 25% more than A and 20% more than C. The share of A is

    A) Rs. 198

    B) Rs. 120

    C) Rs. 180

    D) Rs. 195

    Correct Answer: B

    Solution :

    [b] Suppose A gets Rs. x Then B gets 125% of \[x=\frac{125}{100}\times x=Rs.\frac{5x}{4}\] If B gets Rs. 120, then C gets Rs. 100. If B gets \[\text{Rs}\text{.}\frac{5x}{4}\] then, C gets             \[=\text{Rs}\text{.}\left( \frac{100}{120}\times \frac{5x}{4} \right)=\text{Rs}.\,\,\frac{25x}{24}\] \[\therefore \]      \[x+\frac{5x}{4}+\frac{25x}{24}=395\] \[\Rightarrow \]   \[(24x+30x+25x)=(395\times 24)\] \[\Rightarrow \]               \[79x=(395\times 24)\] \[\Rightarrow \]   \[x=\left( \frac{395\times 24}{79} \right)=120\] Hence, A gets Rs. 120.


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