Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems.

Word problems on percentage:

**1.** In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.

**Solution:**

Let the maximum marks be m.

Ashley’s marks = 83% of m

Ashley secured 332 marks

Therefore, 83% of m = 332

⇒ 83/100 × m = 332

⇒ m = (332 × 100)/83

⇒ m =33200/83

⇒ m = 400

Therefore, Ashley got 332 marks out of 400 marks.

**2.** An alloy contains 26 %
of copper. What quantity of alloy is required to get 260 g of copper?

**Solution:**

Let the quantity of alloy required = m g

Then 26 % of m =260 g

⇒ 26/100 × m = 260 g

⇒ m = (260 × 100)/26 g

⇒ m = 26000/26 g

⇒ m = 1000 g

**3.** There are 50 students in a class. If 14% are absent on a particular
day, find the number of students present in the class.

**Solution: **

Number of students absent on a particular day = 14 % of 50

i.e., 14/100 × 50 = 7

Therefore, the number of students present = 50 - 7 = 43 students.

**4.** In a basket of apples, 12% of them are rotten and 66 are in good
condition. Find the total number of apples in the basket.

**Solution: **

Let the total number of apples in the basket be m

12 % of the apples are rotten, and apples in good condition are 66

Therefore, according to the question,

88% of m = 66

⟹ 88/100 × m = 66

⟹ m = (66 × 100)/88

⟹ m = 3 × 25

⟹ m = 75

Therefore, total number of apples in the basket is 75.

**5.** In an examination, 300 students appeared. Out of these students; 28
% got first division, 54 % got second division and the remaining just passed.
Assuming that no student failed; find the number of students who just passed.

**Solution:**

The number of students with first division = 28 % of 300

= 28/100 × 300

= 8400/100

= 84

And, the number of students with second division = 54 % of 300

= 54/100 × 300

=16200/100

= 162

Therefore, the number of students who just passed = 300 – (84 + 162)

= 54

Questions and Answers on Word Problems on Percentage:

**1.** In a class 60% of the students are girls. If the total
number of students is 30, what is the number of boys?

**Answer:** 12

**2.** Emma scores 72 marks out of 80 in her English exam.
Convert her marks into percent.

**Answer: **90%

**3.** Mason was able to sell 35% of his vegetables before noon.
If Mason had 200 kg of vegetables in the morning, how many grams of vegetables
was he able to see by noon?

**Answer: **70 kg

**4.** Alexander was able to cover 25% of 150 km journey in the
morning. What percent of journey is still left to be covered?

**Answer:** 112.5 km

**5.** A cow gives 24 l milk each day. If the milkman sells 75%
of the milk, how many liters of milk is left with him?

**Answer: **6 l

**6.** While shopping Grace spent 90% of the money she had. If she had $ 4500 on shopping, what was the amount of money she spent?

**Answer:** $ 4050

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