Site navigation

The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price. Then x is:

Question and options

The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price. Then x is:
  1. 18
  2. 9
  3. 36
  4. 82

Answer and explanation

Correct answer: A - 18

The value of xx is 18. The two price multipliers give (1+x/100)(1−x/100)=1−(x/100)2=0.9676(1+x/100)(1-x/100)=1-(x/100)^2=0.9676, so (x/100)2=0.0324(x/100)^2=0.0324 and x/100=0.18x/100=0.18 for the stated increase. The value 36 adds the two 18% rates instead of reporting the single rate.

Practice for these exams

  • IPMAT Indore

Related question papers

Related exam syllabi

More solved explanations in Arithmetic