8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    A grocer purchased 80 kg of sugar at Rs. 13.50 per kg and mixed it with 120 kg of sugar of cost Rs. 16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?

    A)  Rs. 15.30                   

    B)  Rs. 19.18       

    C)  Rs. 17.40       

    D)         Rs. 18.66       

    Correct Answer: C

    Solution :

    Cost price of 80 kg of 1st  type sugar \[\text{=Rs}\text{.(13}\text{.50}\times \text{80)=Rs}\text{. 1080}\] Cost price of 120 kg of \[\text{I}{{\text{I}}^{\text{nd}}}\] type sugar \[\text{=Rs}\text{. (16}\times \text{120)=Rs}\text{. 1920}\] \[\therefore \] Total cost price\[\text{= Rs}\text{. (1920+1080})=\text{Rs}.3000\] \[\text{Gain }\!\!%\!\!\text{  = 16 }\!\!%\!\!\text{ }\] \[\text{Now, S}\text{.P=}\left( \frac{100+Gain%}{100} \right)\times C.P\] \[=\frac{116}{100}\times 3000=Rs.3480\] i.e. Total selling price of 200 kg sugar \[=Rs.3480\] \[\therefore \] S.P. of \[1\text{ kg}\] sugar \[\text{=Rs}\text{.}\left( \frac{\text{3480}}{\text{200}} \right)\text{=Rs}\text{.17}\text{.40}\]


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