Comprehension

Directions: Read the following information carefully and answer the given questions:- 

In school, the total number of students is 14,000. On the annual function of the school, 25% of the total boys and 60% of total girls have participated and the number of total girls in the school is equal to the number of boys who have not participated in the function. 

Find the number of boys who have participated in annual function of the school.

This question was previously asked in
IBPS PO 03 Oct 2020 Prelims Memory Based Paper Shift 1
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  1. 2000
  2. 1500
  3. 1800
  4. 1000
  5. 2500

Answer (Detailed Solution Below)

Option 1 : 2000
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IBPS PO 2024 Prelims Full Test 1
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Detailed Solution

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Given

:

Total number of students = 14,000

Percentage of boys who participated in annual function = 25%

Percentage of girls who participated in annual function = 60%

Number of girls in school = Number of boys who have not participated in function

Concept used:

Total number of boys or girls = Number of those who participated + Number of those who have not participated

Calculation:

Let the number of boys and girls be x and y respectively

Number of boys who have participated in annual function = 25% of x

⇒ 0.25x

Number of boys who have not participated = (x – 0.25x)

⇒ 0.75x

Number of girls in school = y = 0.75x

Now, as per the question

⇒ x + y = 14,000

⇒ x + 0.75x = 14,000

⇒ 1.75x = 14,000

⇒ x = 8000

Number of boys who have participated in annual function = 0.25x

⇒ 0.25 × 8000

⇒ 2000

∴ The number of boys who have participated in annual function is 2000

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