210 views 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. $7$

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 $(C).$

by
3.8k points