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The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above.

The number of days in the given week in which one of the students spent a minimum of $10\%$ more than the other student, on a given day, is

  1. $4$
  2. $5$
  3. $6$
  4. $7$
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We can calculate the number of days in the given week in which one of the students spent more time than the other.

If $X$ is more than $10\%$ of $Y$ then $Y$ should be minimum and vice-versa.

  • On Monday, the required percentage $ = \left(\dfrac{70-45}{45}\right) \times 100\% = 55.55\%$
  • On Tuesday, the required percentage $ = \left(\dfrac{65-55}{55}\right) \times 100\% = 18.18\%$
  • On Wednesday, the required percentage $ = \left(\dfrac{60-50}{50}\right) \times 100\% = 20\%$
  • On Thursday, the required percentage $ = \left(\dfrac{60-55}{55}\right) \times 100\% =  9.09%$
  • On Friday, the required percentage $ = \left(\dfrac{35-20}{20}\right) \times 100\% =  75\%$
  • On Saturday, the required percentage $ = \left(\dfrac{60-50}{50}\right) \times 100\% = 20\%$
  • On Sunday, the required percentage $ = \left(\dfrac{65-55}{55}\right) \times 100\% = 18.18\%$

$\therefore$ Total $6$ days are there, when one of the students spent a minimum of $10\%$ more than the other student.

So, the correct answer is $(C).$

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