8th Class Mathematics Comparing Quantities Question Bank Commercial Mathematics

  • question_answer
    DIRECTIONS: Match Column-I with Column-II and select the correct answer using the codes given below the columns.  

    A)  \[A\to s;\,B\to q,\,C\to r;\,D\to p\]

    B)  \[A\to p;\,B\to r,\,C\to q;\,D\to s\]

    C)  \[A\to q;\,B\to p,\,C\to s;\,D\to r\]

    D)  \[A\to r;\,B\to s,\,C\to p;\,D\to q\]

    Correct Answer: A

    Solution :

    : C.P. Rs. 7500 gain % = 20% S.P. = ? Gain \[=\frac{20\times 7500}{100}=\text{Rs}\,1500\] S.P = C.P + G = 7500 + 1500 = Rs. 9000 S.P = Rs. 3600 Loss = 25% Let C.P be x CP = S.P + Loss Loss \[=\frac{15\times x}{100}\] \[C.P=\left( \frac{SP\times 100}{100-L%} \right)\,=\frac{3600\times 100}{75}=\] Rs. 4800 : S.P = Rs. 20, loss (L) = Rs. 5 C.P = S.P + L = 20 + 5 = Rs. 25 \[L%\,=\frac{L}{CP}\times 100=\frac{5}{25}\,100=20%\] : C.P = Rs. 28.28, .SP = Rs. 22.28 Loss = CP ? SP = Rs. (28.28 ? 22.28) = Rs. 6 \[L%=\frac{L}{CP}\times 100=\frac{5}{2828}\times 10000\] = 21.21%


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