Percentage Quiz

1 >>Q2. 40% of 80 + ? = 60% of 90 __ ?

• (A) 21
• (B) 31
• (C) 22
• (D) 32

Solution Exp. 40% of 80 = 0.4 x 80 = 32.60% of 90 = 0.6 x 90 = 54.? = 54 - 32 = 22.

2 >>Q3. 40% of (24/30) = ? % of 3.2___ ?

• (A) 10
• (B) 11
• (C) 20
• (D) 10.1

Solution Exp. 40% of 24/30 = 0.4 x 24/30 = 0.32.0.32 is 10% of 3.2.

3 >>Q4. If A is 20% more than B, then what per cent of A is B? ?

• (A) 0.9
• (B) 0.83
• (C) 0.5
• (D) 0.7

Solution Exp. A = B + 20% ofA = 1.2B = A/1.2 = 0.83A = 83% of

4 >>Q15. y = a x b, if a increases by 25% and b by 20% then find the percentage increase in the value of y __ ?

• (A) 50
• (B) 30
• (C) 45
• (D) 20

Solution Exp. New value of y = 1.25a x 1.2b = 1.5 a x b.Value of y increases by 50%.

5 >>Q16. A reduction of 20% in the price of tea enables a purchaser to obtain 2 kg more for Rs.120. The reduced price per kilogram of tea is__ ?

• (A) Rs. 16
• (B) Rs. 12
• (C) Rs. 11
• (D) Rs. l9

Solution Exp. Let X be initial price of tea and Y be the initial quantity.XY = 120.(X - 20% of X)(Y+2) = 120.0.8X(Y+2) = 120.X = 15.Reduced price = 0.8X = 12.

6 >>Q17. At an election where there are two candidate only, the candidate who gets 62% of the total votes is elected by a majority of Rs.144 votes, the total number of votes are__ ?

• (A) 600
• (B) 650
• (C) 900
• (D) 950

Solution Exp. Let number of votes for the candidate = X.Number of votes not for the candidate = X - 144.Total number of votes = X + X - 144 = 2X - 144.62% of 2X -144 = X.0.62(2X-144) = X.X = 600.

7 >>Q19. In an examination, every candidate took Science or Civics, 65.8% took Civics and 59.2% took Science. If the number of candidates was 2000, the number of candidate taking both the subjects was__ ?

• (A) 200
• (B) 500
• (C) 550
• (D) 750

Solution Exp. Percentage of candidates taking both = 65.8 + 59.2 - 100 = 25%.Number of students taking both = 25% of 2000 = 0.25x2000 = 500.

8 >>Q20. A man spends 12 1/2% of his income. After spending another 75% of his remainder, he had with him Rs.175 left. His income was__ ?

• (A) Rs. 750
• (B) Rs. 970
• (C) Rs. 800
• (D) Rs. 1000

Solution Exp. Let X be income.Initisly he spent 12.5% = 0.125X.Next he spent 75% of remaining = 0.75(X-0.125X) = 0.65625X.0.125X + 0.65625X + 175 = X.X = 800.

9 >>Q21. If 20% of a = b, then b% of 20 is the same as__ ?

• (A) 4% of a
• (B) 5% of a
• (C) 20% of a
• (D) None of these

Solution Exp. 0.2a = bb% of 20 = b/100 x 20 = 0.2b.0.2b = 0.2 (0.2a) = 0.04a = 4% of a.

10 >>Q22. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school? ?

• (A) 72
• (B) 80
• (C) 100
• (D) 150

Solution Exp. Let total number of students = X.Number of students below 8 years = 0.2X.Number of students of 8 years = 48.Number of students above 8 years = 2/3 x 48 = 32.0.2X + 48 + 32 = X.X = 100.

11 >>Q23. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the same of 6% of A and 8% of What is ratio of A: B? ?

• (A) 4:3
• (B) 3:4
• (C) 2:3
• (D) 1:1

Solution Exp. Sum of 5% of A and 4% of B = 0.05A + 0.04Sum of 6% of A and 8% of B = 0.06A + 0.080.05A + 0.04B = (2/3)(0.06A + 0.08B).0.05A + 0.04B = 0.04A + 0.053330.01A = 0.01333A/B = 1.333 = 4/3.

12 >>Q24. A student multiplied a number by 3/5 instead of 5/3. What is percentage error in the calculation? ?

• (A) 0.34
• (B) 0.64
• (C) 0.44
• (D) 0.54

Solution Exp. Percentage error = (5/3 - 3/5)/(5/3) = 0.64 = 64%.

13 >>Q25. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally he had- ?

• (A) 588 apples
• (B) 600 apples
• (C) 700 apples
• (D) 674 apples

Solution Exp. Let original number of apples = X.40% of X + 420 = X.0.4X + 420 = X.X = 700.

14 >>Q26. What percentage of number from 1 to 70 have 1 or 9 in the units digit? ?

• (A) 20
• (B) 21
• (C) 22
• (D) 1

Solution Exp. Numbers with 1 or 9 in units digit = 14 (1,9,11,19,....,69).Percentage = 14/70 x 100 = 20%.

15 >>Q27. Neetu deposits 15% of his salary in the fixed deposit account and after spending 30%, of the remainder, is left with Rs.2380. What will be his salary? ?

• (A) Rs. 5400
• (B) Rs. 2300
• (C) Rs. 4000
• (D) Rs. 4300

Solution Exp. Let X be the salary.Amount deposited in fixed deposit = 0.15X.Amount spent = 0.3 x (X - 0.15X) = 0.255X.0.15X + 0.255X + 2380 = X.X = 4000.

16 >>Q28. The price of rice decreases by 10%, one person buys 3.1 kg more rice in Rs.l39.50. What is the real price of rice per kg? ?

• (A) Rs.5
• (B) Rs.3
• (C) Rs. 8
• (D) Rs. 6

Solution Exp. Let X be real price of rice and Y be the initial amount of rice bought for 139.50.XY = 139.50(X - 10% of X)(Y+3.1) = 139.50.0.9X(Y+3.1) = 139.5.X = 5.

17 >>Q29. Shanoo spends 30% of his salary on education and 50% of the remainder spends on food and conveyance. After payment of Rs.1000 of rent, there is Rs.1800 left with him. What is his salary? ?

• (A) Rs. 7800
• (B) Rs. 8000
• (C) Rs. 5400
• (D) Rs. 7300

Solution Exp. Let X be the salary.Amount spent on education = 0.3X.Amount spent on food and conveyence = 0.5 x (X - 0.3X) = 0.35X.0.3X + 0.35X + 1000 + 1800 = X.X = 8000.

18 >>Q5. In a town election one candidate got 62% votes and won with 144 votes. What are total number of votes polled in that election? ?

• (A) 300
• (B) 400
• (C) 500
• (D) 600

Solution No Exp.

19 >>Q6. Cube of 'a' varies directly with fifth power of 'b'. If 'b' increases by 5% then by what percent does 'a' increase ? (Approximately) ?

• (A) 0.06
• (B) 0.05
• (C) 0.16
• (D) 0.08

Solution No Exp.

20 >>Q7. The per capita income of Delhi is Rs.4500 and that of Mumbai is Rs.2250. The per capita income of Delhi in Rs.1980 was the average of current per capita incomes Mumbai and Delhi. What is the percentage gain in per capita income of Delhi from Rs.1980 to now? ?

• (A) 0.2333
• (B) 0.0333
• (C) 0.2
• (D) 0.21

Solution No Exp.