__Percentages Practice Questions – Set 2__**1. The difference between 20% of a number and 4/5th of the same number is 2499. What is 2/7th of that number ?**

a) 2156

b) 1190

c) 1090

d) 1465

**Answer:**

**B)**

**Explanation:**

Let the number be x

[20% = 20 / 100 = 1/5 which is less than 4/5]

(4x / 5) – (x / 5) = 2499à 3x / 5 = 2499

x = (2499 × 5) / 3 = 4165

4165 × (2/7) = 1190

**2. If the numerator of a fraction is increased by 300% and the denominator is increased by 200%, the resultant fraction is 4/15. What is the original fraction ?**

a) 3/5

b) 4/5

c) 2/5

d) 1/5

e) None of these

**Answer:**

**D)**

**Explanation:**

Let the original fraction be x / y. so, (x + 300% x)
/ (y + 200% y) = 4/15

(x × 400) / (y × 300) = 4/15

x/y =( 4/15) × (3/4)= 1/5

**3. Kajal spends 55% of her monthly income on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively. If the amount spent on clothes is Rs. 5,540. What is Kajal’s monthly income ?**

a) Rs. 55,400

b) Rs. 54,500

c) Rs. 55,450

d) Rs. 55,650

e) None of these

**Answer:**

**A)**

**Explanation:**

If the monthly income of Kajal be Rs. x, then

x × (55 / 100) × [2 / (4 + 2 + 5)] = 5540

x × (55 / 100) × (2/11) = 5540à x = (5540 × 100 ×
11) / (55 × 2)

x = Rs. 55400

**4. 35 percent of a number is two times 75 percent of another number. What is the ratio between the first and the second numbers respectively ?**

a) 35 : 6

b) 31 : 1

c) 23 : 7

d) 32 : 9

e) None of these

**Answer:**

**E)**

**Explanation:**

x × (35 / 100) = y × (75 / 100) × 2

x × 35 = y × 2 × 75à x × 7 = 30y

x/y = 30/7

**5. Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year ?**

a) 854

b) 848

c) 798

d) 782

e) None of these

**Answer:**

**A)**

**Explanation:**

Present population of boys = (610 × 80) / 100 = 488

Number of girls = (488 × 175) / 100 = 854

**6. The salary of Anup is 30% more than that of Barun. Find by what percentage is the salary of Barun less than that of Anup ?**

a) 26.12%

b) 21.23%

c) 23.07%

d) 27.03%

e) None of these

**Answer:**

**C)**

**Explanation:**

Required percentage = 30 / (100 + 30) × 100

300 / 13 = 23.07%

**7. Akash scored 73 marks in subject A. He scored 56% marks in subject B and x marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C?**

a) 84

b) 86

c) 79

d) 73

e) None of these

**Answer:**

**B)**

**Explanation:**

Marks obtained by Akash in subject B = (150 × 56) /
100 = 84

Total marks obtained by Akash = (450 × 54) / 100 =
243

Therefore, Marks obtained in subject C = 243 – 73 –
84 = 86

**8. What value will you obtain if twenty five percent of 2340 is subtracted from four-ninth of square of 36 ?**

a) 9

b) -18

c) 18

d) -9

e) 3

**Answer:**

**D)**

**Explanation:**

Required answer = (4/9) × (36)

^{2 }– 2340 × (25 / 100)
= 576 – 585 = -9

**9. In a class of 35 students and 6 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there?**

a) 245

b) 161

c) 406

d) 84

e) None of these

**Answer:**

**E)**

**Explanation:**

Number of sweets got by each student = (35 × 20) /
100 = 7

Number of sweets got by each teacher = (35 × 40) /
100 = 14

Total number of sweets = 35 × 7 + 6 × 14 = 245 + 84
= 329

**10. Prithvi spent Rs. 89,745 on his college fees, Rs. 51,291 on Personality Development Classes and the remaining 27% of the total amount he had as cash with him. What was the total amount ?**

a) Rs. 1,85,400

b) Rs. 1,89,600

c) Rs. 1,91,800

d) Rs. 1,93,200

e) None of these

**Answer:**

**D)**

**Explanation:**

Let the total amount with Prithvi be Rs. x.
percentage of amount spent = (100 – 27) = 73%

According to the question.

73% of x = (89745 + 51291) => (x × 73) / 100 =
141036

=> X = (141036 × 100) / 73 = Rs. 193200