In a college, 35% students like coffee and 55% students likes Tea. There are 10% students who like both. There are 100 students who didn’t like any of these beverages. Find the average number of students who likes only coffee and only Tea.?

125
185
175
190
145

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 175

⇒ Average = sum of elements / number of elements

Given,

There are 35% students who likes coffee and 55% students likes Tea and there are 10% students who like both

Number of students who likes only coffee = 35 - 10 = 25%

Number of students who likes only Tea = 55 - 10 = 45%

Let the number of students who likes coffee and who likes Tea be m and n respectively.

In percentage,

Total number of students in college = number of students who like only coffee + number of students who like only Tea + number of students who like both + number of students who don’t like any of these two

⇒ 100% = 25% + 45% + 10% + percent of students who don’t like any of these two

Percent of students who don’t like any of these two = 100 - 80 = 20%

There are 100 students who didn’t like any of these beverages.

⇒ 100 = (20/100) × Number of students in college

Number of students in college = 500

Number of students who likeonly coffee = 25% = (25/100) × 500 = 125

Number of students who like only Tea = 45% = (45/100) × 500 = 225

Total number of students who like only coffee and only Tea = 125 + 225 = 350

Average number of students who like only coffee and only Tea = 350 / 2 = 175

There are 175 average number of students who likes either Coffee or Tea

5 views Answered 2022-09-04 04:29

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