7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer Sarita buys a scooty and sells it to Deepa at a loss of 20%. Deepa sells the scooty to Gargi at a loss of 30%. If Gargi paid Rs. 17920 for the scooty, then at what price did Sarita buy the scooty?

    A)  Rs. 30000                    

    B)  Rs. 26000     

    C)  Rs. 30500                    

    D)  Rs. 32000

    Correct Answer: D

    Solution :

    (d) Tips: It is always helpful to straightaway assume an unknown quantity as x. Let sarita's price be\[x\]. Then amount paid by Deepa \[=x-\frac{20}{100}x=\frac{8}{10}x,\] and amount paid by Gargi\[=\frac{8}{10}x\times \left( 1-\frac{30}{100} \right)\] \[=\frac{8}{10}x\times \frac{7}{10}=\frac{56}{100}x\] Now, \[\frac{56}{100}x=17920\] \[\therefore \]\[x=\frac{\cancel{\overset{320}{\mathop{17920}}\,}\times 100}{56}=32000\]

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