Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.
16. A housewife saved Rs.2.50 in buying an item on sale. If she spent Rs.25 for the item, approximately how much percent she saved in the transaction?
A. 9%
B. 10%
C. 7%
D. 6%
Answer
Explanation:
Actual Price = Rs.25 + Rs.2.50 = Rs.27.5
Saving = Rs.2.5
Percentage Saving = (2.5/27.5)×100=250/27.5=2500/275=9.111%≈9%
17. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
A.34%
B.44%
C.54%
D.64%
Answer
Explanation:
Let the number be x.
Then, error =(5/3)x –(3/5)x =(16/15)x.
Error% =(16x/15)x(3/5x)x 100% = 64%.
18. How many liters of pure acid are there in 8 liters of a 20% solution?
A. 2 liters
B. 1.4 liters
C. 1 liters
D. 1.6 liters
Answer
Explanation:
Quantity of pure acid = 8×20100=1.6
19. 12.5% of 192=50% of?
A. 48
B.24
C.6
D. None
Answer
Explanation:
12.5/100 * 192 = 50/100 * x then x = 12.5 * 192 * 2 / 100 = 48
20. If 20% of a = b, then b% of 20 is the same as:
A. None of these
B. 10% of a
C. 4% of a
D. 20% of a
Answer
Explanation:
20% of a = b
b = (20/100) a
b% of 20 = (b/100)20
(20/100) a x (1/100) x 20
4a/100 = 4% of a
21. A group of 300 consists of 135 senior citizens. If 40% of the women in the group are senior citizens and there are 200 men in the group, find the number of male senior citizens in the group.
A. 95
B. 40
C. 45
D. 120
Answer
Explanation:
Let a and b be the number of Male Senior Citizens and Male Non-Senior Citizens respectively. Let c and d be the number of Female Senior Citizens and Female Non-Senior Citizens respectively.
Now, a+b=200………(i)
a+c=135 ………………(ii)
a+b+c+d =300……….(iii)
0.4*(c+d)=c…………..(iv)
Solving the four equations, a=95
22. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
A.2 : 3
B.1 : 1
C.3 : 4
D.4 : 3
Answer
Explanation:
5% of A + 4% of B =2/3(6% of A + 8% of B.
Solving the above equation,
Required ratio = 4 : 3
23. If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
A. 8%
B. 7%
C. 10%
D. 6%
Answer
Explanation:
Assume that the initial price of 1 Liter petrol = Rs.100 ,
Benson spends Rs.100 for petrol, such that Benson buys 1 liter of petrol
After the increase by 25%, price of 1 Liter petrol = 100 × (100+25)100=Rs.125
Since Benson spends additional 15% on petrol, amount spent by Benson =
[100 × (100+15)]100=Rs.115
Hence Quantity of petrol that he can purchase = 115/125 Liter
Quantity of petrol reduced = 1−(115/125) Liter.
Percentage Quantity of reduction = (10/125)×100=8%
24. Ravi's salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is
A. 20%
B. 25%
C. 33.33%
D. 30%
Answer
Let Ravi’s salary be x and his new salary be 0.75x.
To bring his salary to the original level, 0.25x should be added.
% increase = (0.25x/0.75x) * 100 = 33.33 %
25. Rahul went to a shop and bought things worth Rs.25, out of which 30 Paisa went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A. Rs. 15
B. Rs. 12.10
C. Rs. 19.70
D. Rs. 16.80
Answer: Option C
Answer
Explanation:
Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paisa is given as tax
Total tax incurred = 30 Paisa= Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ [25−(30/100)−x](6/100)=30/100
6(25−0.3−x)=30
(25−0.3−x)=5
x=25−0.3−5=19.7
26. One fourth of one third of two fifth of a number is 15. What will be40% of that number?.
A.120
B. 270
C. 350
D. 180
Answer
Explanation:
(1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450
40% of 450 = 180
27. Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
A.Rs. 6876.10
B.Rs. 6999.20
C.Rs. 6654
D.Rs. 7000
Answer
Explanation:
Rebate = 6% of Rs.6650
(Rs.6/100) x 6650= Rs.399.
Sales tax = 10% of Rs.(6650 – 399) =
(Rs.10/100) x 6251= Rs.625.10
Final amount = Rs.(6251 + 625.10) = Rs.6876.10
28. After selling 35% of the oranges, a fruit vendor has 260 oranges left. How many did he have originally?
A. 400
B. 520
C. 390
D. 300
Answer
Explanation:
After selling 35% of the oranges, he has 65% left. (65/100)*x = 260 x = 400
29. 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A. 60%
B. 70%
C. 80%
D. 90%
Answer
Explanation:
Let total number of men = 100
Then,
80 men are less than or equal to 50 years old
(Since 80% of the men are less than or equal to 50 years old.
20 men are above 50 years old (Since we assumed total number of men as 100)
20% of the men above the age of 50 play football ⇒Number of men above the age of 50 who play football = (20×20)/100=4
Number of men who play football = 20 (Since 20% of all men play football)
Percentage of men who play football above the age of 50 = (4/20)×100=20%=>Percentage of men who play football less than or equal to the age 50 = 100%−20%=80%
30. A group consists of 60% men and 40% women. 70% of the people in this group are employed. If 100 men are employed and 50% of the women are employed, find the number of people in the group.
A. 150
B. 175
C. 200
D. 250
Answer
Explanation:
Let the number of people in the group be x.
Number of men = 0.6x.
Number of women = 0.4x.
Number of employed = 0.7x 100+0.5*(0.4x) = 0.7x
x=200
