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Athletes who love only walking are 20 more than those who love only running which is half of those who love only jogging. Athletes who love all the three are 20 which is 40% of those who love only walking and athletes who love both walking and running but not jogging is 25% of those who love only jogging, then how many love both walking and running?

Athletes who love only walking are 20 more than those who love only running which is half of those who love only jogging. Athletes who love all the three are 20 which is 40% of those who love only walking and athletes who love both walking and running but not jogging is 25% of those who love only jogging, then how many love both walking and running? Correct Answer 35

GIVEN:

Athletes who love only walking are 20 more than those who love only running which is half of those who love only jogging.

Athletes who love all the three are 20 which is 40% of those who love only walking and athletes who love both walking and running but not jogging is 25% of those who love only jogging.

CONCEPT:

Venn diagram

CALCULATION:

Let athletes who love only walking, only running, and only jogging is ‘x + 20’, ‘x’, and ‘2x’ respectively.

Athletes who love all the three = 20

Athletes who love only walking = 20 × (100/40) = 50 = x + 20

⇒ x = 30

Athletes who love only walking and running = 25% of 2x = 25% of 60 = 15

[ alt="F1 Maanik.G 30-07-2020 Savita D6" src="//storage.googleapis.com/tb-img/production/20/08/F1_Maanik.G_30-07-2020_Savita_D6.png" style="width: 177px; height: 210px;">

Athletes who love both walking and running = 15 + 20

= 35

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