Home
Class 14
MATHS
A class has five sections that have 25,3...

A class has five sections that have 25,30,40, 45,and 60 students ,respectively.The pass percentahe of these sections are `20%,30%,35%,40%and100%` ,respectively .The pass percentahe of the entire class is :

A

`87%`

B

`79%`

C

`63%`

D

`53%`

Text Solution

AI Generated Solution

The correct Answer is:
To find the overall pass percentage of the entire class, we need to calculate the number of students who passed in each section and then find the total number of students and the total number of students who passed. Here’s how to do it step-by-step: ### Step 1: Calculate the number of students who passed in each section. 1. **Section A**: - Total students = 25 - Pass percentage = 20% - Number of students passed = 20% of 25 = (20/100) * 25 = 5 students 2. **Section B**: - Total students = 30 - Pass percentage = 30% - Number of students passed = 30% of 30 = (30/100) * 30 = 9 students 3. **Section C**: - Total students = 40 - Pass percentage = 35% - Number of students passed = 35% of 40 = (35/100) * 40 = 14 students 4. **Section D**: - Total students = 45 - Pass percentage = 40% - Number of students passed = 40% of 45 = (40/100) * 45 = 18 students 5. **Section E**: - Total students = 60 - Pass percentage = 100% - Number of students passed = 100% of 60 = (100/100) * 60 = 60 students ### Step 2: Calculate the total number of students who passed. Total students passed = Students passed in A + B + C + D + E = 5 + 9 + 14 + 18 + 60 = 106 students ### Step 3: Calculate the total number of students in the class. Total students = Students in A + B + C + D + E = 25 + 30 + 40 + 45 + 60 = 200 students ### Step 4: Calculate the overall pass percentage. Overall pass percentage = (Total students passed / Total students) * 100 = (106 / 200) * 100 = 53% ### Final Answer: The pass percentage of the entire class is **53%**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A school has only four classes that contain 10,20,30 and 40 students respectively. The pass percentage of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school.

In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentage of the different centres are 20%, 30%, 35% 40% 50% and 75% respectively. The pass percentage of the entrance examination is:(correct to the nearest integer) विभिन्न केंद्रों पर प्रवेश परीक्षा में कुल 25, 30, 40, 45, 60 और 100 छात्र उपस्थित हुए। विभिन्न केंद्रों का उत्तीर्णा प्रतिशत क्रमशः 20%, 30%, 35% 40% 50% और 75% है। प्रवेश परीक्षा का उत्तीर्णता प्रतिशत क्या है ज्ञात करे : (निकटतम पूर्णाक तक )

In all the three sections of Woodland High school there are 50,70 and 80 students , those who secured F grade are 10% ,20% ,and 30% respectively.What percentage of the total students in the school secured F grade ?

The length and breadth of a rectangle were increased by 30% and 20% respectively.Then find the area will increased.

A class is divided into two sections A and B . Passing average of 20 students of section A is 80% and passing average of 30 students of section B is 70% . What is the passing average of both the sections ?

Two numbers are respectively 30% and 40% less than a third. What percentage is the second of the first?

The length and breadth of square are increased by 40% and 30% respectively. The area of resulting rectangle exceeds the area of the square by: