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7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    A man sells two horses for Rs.4000 each, neither losing nor gaining in the deal. If he sold one horse at a gain of 25%, the other horse is sold at a loss of____.         

    A)  \[33\frac{1}{3}%\]               

    B)  \[16\frac{2}{3}%\]   

    C)         \[50%\]         

    D)         \[47%~\]                   

    Correct Answer: B

    Solution :

    Selling price of 1 horse =Rs. 4000 Profit % = 25% \[\therefore \] \[C.P.=\frac{100\times S.P.}{100+\text{Profit}%}=\frac{100\times 4000}{125}\] \[=Rs.\text{ }3200\] Since the man is having neither loss nor gain. \[\therefore \] Cost price of second horse = S.P. of 2 horses - C.P. of 1 horse \[=Rs.\,(8000-3200)=Rs.\,4800\] Now, Cost price of 2nd horse = Rs. 4800 Selling price = Rs. 4000 Loss \[=C.P.-S.P.=Rs.\,800\] \[\Rightarrow \] Loss % \[=\frac{800}{4800}\times 100=16\frac{2}{3}%\]


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