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Page 1 Chapter 12: Percentage PRACTICE SET 30 [PAGE 64] Practice Set 30 | Q 1 | Page 64 Solve the following. Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored? SOLUTION Marks obtained by Shabana = 736 Total marks = 800 Suppose the marks obtained by Shabana be x %. Let us write in two forms, the ratio of the number of marks obtained to the total marks, obtain an equation and solve it. Practice Set 30 | Q 2 | Page 64 Solve the following. There are 500 students in the school in Dahihanda village. If 350 of them can swim, what percent of them can swim and what percent cannot? SOLUTION Total number of students in the school = 500 Number of students who can swim = 350 Suppose the students who can swim be x %. Let us write in two forms, the ratio of the number of students who can swim to the total number of students in the school, obtain an equation and solve it. Then, we have Page 2 Chapter 12: Percentage PRACTICE SET 30 [PAGE 64] Practice Set 30 | Q 1 | Page 64 Solve the following. Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored? SOLUTION Marks obtained by Shabana = 736 Total marks = 800 Suppose the marks obtained by Shabana be x %. Let us write in two forms, the ratio of the number of marks obtained to the total marks, obtain an equation and solve it. Practice Set 30 | Q 2 | Page 64 Solve the following. There are 500 students in the school in Dahihanda village. If 350 of them can swim, what percent of them can swim and what percent cannot? SOLUTION Total number of students in the school = 500 Number of students who can swim = 350 Suppose the students who can swim be x %. Let us write in two forms, the ratio of the number of students who can swim to the total number of students in the school, obtain an equation and solve it. Then, we have Practice Set 30 | Q 3 | Page 64 Solve the following. If Prakash sowed jowar on 75% of the 19500 sq m of his land, on how many sq m did he actually plant jowar? SOLUTION Suppose Prakash planted jowar in x sq m of his land. Let us write in two forms, the ratio of area of land in which jowar is planted to the total area of the land, obtain an equation and solve it. Then, we have Practice Set 30 | Q 4 | Page 64 Solve the following. Soham received 40 messages on his birthday. Of these, 90% were birthday greetings. How many other messages did he get besides the greetings? SOLUTION Total number of messages received by Soham on his birthday = 40 Percentage of birthday greeting messages = 90% So, percentage of other messages besides the greetings = (100 - 90)% = 10% Page 3 Chapter 12: Percentage PRACTICE SET 30 [PAGE 64] Practice Set 30 | Q 1 | Page 64 Solve the following. Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored? SOLUTION Marks obtained by Shabana = 736 Total marks = 800 Suppose the marks obtained by Shabana be x %. Let us write in two forms, the ratio of the number of marks obtained to the total marks, obtain an equation and solve it. Practice Set 30 | Q 2 | Page 64 Solve the following. There are 500 students in the school in Dahihanda village. If 350 of them can swim, what percent of them can swim and what percent cannot? SOLUTION Total number of students in the school = 500 Number of students who can swim = 350 Suppose the students who can swim be x %. Let us write in two forms, the ratio of the number of students who can swim to the total number of students in the school, obtain an equation and solve it. Then, we have Practice Set 30 | Q 3 | Page 64 Solve the following. If Prakash sowed jowar on 75% of the 19500 sq m of his land, on how many sq m did he actually plant jowar? SOLUTION Suppose Prakash planted jowar in x sq m of his land. Let us write in two forms, the ratio of area of land in which jowar is planted to the total area of the land, obtain an equation and solve it. Then, we have Practice Set 30 | Q 4 | Page 64 Solve the following. Soham received 40 messages on his birthday. Of these, 90% were birthday greetings. How many other messages did he get besides the greetings? SOLUTION Total number of messages received by Soham on his birthday = 40 Percentage of birthday greeting messages = 90% So, percentage of other messages besides the greetings = (100 - 90)% = 10% Suppose the number of other messages besides the greetings be x. Let us write in two forms, the ratio of the number of other messages besides greetings to the total number of messages received on birthday, obtain an equation and solve it. Then, we have ? Soham received 4 other messages besides the greetings on his birthday. Practice Set 30 | Q 5 | Page 64 Solve the following. Of the 5675 people in a village 5448 are literate. What is the percentage of literacy in the village? SOLUTION Total number of people in a village = 5675 Number of literate people in a village = 5448 Suppose percentage of literacy in the village is x %. Let us write in two forms, the ratio of the number of literate people to the total number of people in the village, obtain an equation, and solve it. Then, we have Practice Set 30 | Q 6 | Page 64 Solve the following. In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while 1360 of 1700 in Wadgaon cast theirs. In which village did a greater proportion of women cast their votes? SOLUTION Total number of women in Jambhulgaon = 1200 Number of women in Jambhulgaon who cast their vote = 1080 Page 4 Chapter 12: Percentage PRACTICE SET 30 [PAGE 64] Practice Set 30 | Q 1 | Page 64 Solve the following. Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored? SOLUTION Marks obtained by Shabana = 736 Total marks = 800 Suppose the marks obtained by Shabana be x %. Let us write in two forms, the ratio of the number of marks obtained to the total marks, obtain an equation and solve it. Practice Set 30 | Q 2 | Page 64 Solve the following. There are 500 students in the school in Dahihanda village. If 350 of them can swim, what percent of them can swim and what percent cannot? SOLUTION Total number of students in the school = 500 Number of students who can swim = 350 Suppose the students who can swim be x %. Let us write in two forms, the ratio of the number of students who can swim to the total number of students in the school, obtain an equation and solve it. Then, we have Practice Set 30 | Q 3 | Page 64 Solve the following. If Prakash sowed jowar on 75% of the 19500 sq m of his land, on how many sq m did he actually plant jowar? SOLUTION Suppose Prakash planted jowar in x sq m of his land. Let us write in two forms, the ratio of area of land in which jowar is planted to the total area of the land, obtain an equation and solve it. Then, we have Practice Set 30 | Q 4 | Page 64 Solve the following. Soham received 40 messages on his birthday. Of these, 90% were birthday greetings. How many other messages did he get besides the greetings? SOLUTION Total number of messages received by Soham on his birthday = 40 Percentage of birthday greeting messages = 90% So, percentage of other messages besides the greetings = (100 - 90)% = 10% Suppose the number of other messages besides the greetings be x. Let us write in two forms, the ratio of the number of other messages besides greetings to the total number of messages received on birthday, obtain an equation and solve it. Then, we have ? Soham received 4 other messages besides the greetings on his birthday. Practice Set 30 | Q 5 | Page 64 Solve the following. Of the 5675 people in a village 5448 are literate. What is the percentage of literacy in the village? SOLUTION Total number of people in a village = 5675 Number of literate people in a village = 5448 Suppose percentage of literacy in the village is x %. Let us write in two forms, the ratio of the number of literate people to the total number of people in the village, obtain an equation, and solve it. Then, we have Practice Set 30 | Q 6 | Page 64 Solve the following. In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while 1360 of 1700 in Wadgaon cast theirs. In which village did a greater proportion of women cast their votes? SOLUTION Total number of women in Jambhulgaon = 1200 Number of women in Jambhulgaon who cast their vote = 1080 Total number of women in Wadgaon = 1700 Number of women in Wadgaon who cast their vote = 1360 Suppose x % women cast their votes in Jambhulgaon and y % women cast their votes in Wadgaon. Let us find the ratio of number of women who cast their vote to the total number of women in each case. We then write those ratios in two forms, obtain equations and solve them. Then, we have ? 90% women cast their votes in Jambhulgaon and 80% women cast their votes in Wadgaon. ? A greater proportion of women cast their votes in Jambhulgaon.Read More
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FAQs on Textbook Solutions: Percentage - Mathematics Class 6 (Maharashtra Board)
| 1. What is a percentage and how is it used in daily life? |  |
Ans.A percentage is a way of expressing a number as a fraction of 100. It is often used in various real-life situations such as calculating discounts while shopping, determining grades in school, and understanding statistics in surveys. For example, if a shirt costs $50 and is on sale for 20% off, you can calculate the discount to find out how much you will save.
| 2. How do you calculate a percentage of a number? | |
Ans.To calculate a percentage of a number, you can use the formula: (Percentage / 100) x Total Number. For example, to find 25% of 200, you would calculate (25 / 100) x 200, which equals 50. This means that 25% of 200 is 50.
| 3. What are some common examples of percentages in everyday situations? | |
Ans.Common examples of percentages include sales tax, tips in restaurants, interest rates on loans, and exam scores. For instance, if you receive a score of 80 out of 100 on a test, your score can be expressed as 80%, indicating that you answered 80% of the questions correctly.
| 4. Can percentages be greater than 100? | |
Ans.Yes, percentages can exceed 100. This typically occurs in situations like profit margins or growth rates. For example, if a company's revenue doubles, that represents a 100% increase, but if it triples, that would be a 200% increase.
| 5. How can understanding percentages help in financial literacy? | |
Ans.Understanding percentages is crucial for financial literacy as it helps individuals make informed decisions about savings, investments, and spending. For instance, knowing how to calculate interest rates on bank accounts or loans allows people to compare different financial products and choose the best option for their needs.
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Oct 02, 2025
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