## Chapter 12 Percentage

Question 1.

Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored?

Solution:

Total marks of the examination = 800

Marks scored by Shabana = 736

Suppose Shabana scored A% marks.

∴ A = 92%

∴ Shabana scored 92% marks.

Question 2.

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 A% students can swim.

∴ A = 70%

Percentage of students who cannot swim = 100% – Percentage of students who can swim .

= 100% – 70% = 30%

∴ 70% of the students can swim and 30% cannot swim.

Question 3.

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:

Total area of the land = 19500 sq. m.

Percentage of area in which Prakash sowed jowar = 75%

Suppose Prakash planted jowar in A sq. m.

∴ A = 14,625 sq. m.

∴ Prakash planted jowar in 14,625 sq.m.

Question 4.

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 messages received by Soham on his birthday = 40

Percentage of messages received for birthday greetings = 90%

Suppose Soham got A number of birthday greetings.

∴ A = 36

∴ Number of messages received other than birthday greetings

= total messages received – total number of birthday greetings

= 40 – 36 = 4

∴ The number of messages received other than birthday greetings is 4.

Question 5.

Of the 5675 people in a village 5448 are literate. What is the percentage of literacy in the village?

Solution:

Number of people in the village = 5675

Number of people who are literate = 5448

Suppose the percentage of literacy in the village is A%.

∴ A = 96%

∴ The percentage of literacy in the village is 96%.

Question 6.

In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while 1360 of the 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 voted = 1080

Suppose A% women cast their vote in Jambhulgaon village.

∴ A = 90%

In Jambhulgaon, the percentage of women who voted in the elections was 90%.

Total number of women in Wadgaon = 1700 Number of women in Wadgaon who voted = 1360

Suppose B% women cast their vote in Wadgaon.

∴ B = 80%

∴ In Wadgaon, the percentage of women who voted in the elections was 80%.

∴ A greater proportion of women cast their votes in Jambhulgaon.

**Intext Questions and Activities**

Question 1.

There are 9 squares in the figure alongside. The letters ABCDEFGHI are written in squares. Give each of the letters a unique number from 1 to 9 so that every letter has a different number.

Besides, A + B + C = C + D + E = E + F + G = G + H + I should also be true. (Textbook pg. no. 64)

Solution:

(This is one of the possible solutions of the above riddle. There are more solutions possible.)