1. The ratio 5:4 expressed as percent equals:
(a) 12.5% (b) 40%
(c) 80% (d) 125%
Answer:(d)
Solution:
Applying the formula for percentage,
required percentage = 5/4 x 100 = 125 %
3, Half of 1 percent written as a decimal is :
(a)0.005 (b) 0.05
(c) 0.02 (d) 0.2
Answer: (a)
Solution:
Half of 1 percent is 0.5 % = 0.5/100 = .005
(to convert % to decimal you divide it by 100)
4. what is 15 percent of Rs. 34?
(a) Rs. 3.40 (b) Rs. 3.75
(c) Rs. 4.50 (d) Rs. 5.10
Answer: (d)
Solution:
Applying the formula for conversion of percentage to actual
Actual = (x %/100) x N where x is the percentage given and N is the total Amount.
Here, x = 15 %, N= 34.
Now, put the values to get (15/100) x 34 = 0.15 x 34 = 5.1
5. 63% of 3 x (4/7) is :
(a) 2.25 (b) 2.40
(c) 2.50 (d) 2.75
Answer: (a)
Solution:
First convert the mixed fraction 3 (4/7) to fraction which is = (21 + 4)/7 = 25/7.
Now, to calculate 63% of 25/7.
we have,
( 63/100) x (25/7) = 9/4 = 2.25
6. 88% of 370 + 24% of 210 - ? = 118
(a) 256 (b) 258
(c) 268 (d) 358
Answer:(b)
Solution :
88 % of 370 = 0.88 x 370 = 325.6
24 % of 210 = 0.24 x 210 = 50.4
put these terms in the equation and let the unknown be x then we have,
325.6 + 50.4 - x = 118
376 - x = 118
x = 258
7. 860% of 50 +50% of860 =?
(a) 430 (b) 516
(c) 860 (d) 960
Answer: (c)
Solution:
860 % of 50 = 8.6 x 50 = 430
50% of 860 = 0.5 x 860 = 430
put the values in the above equation to get 430 + 430 = 860
8. 45% of 750 - 25% of 480 = ?
(a) 216 (b) 217.50
(c) 236.50 (d) 245
Answer: (b)
Solution: 45 % of 750 = 337.5
25 % of 480 = 120
Put the values in the above equations to get 337.5 - 120 = 217.5
9. 40% of 1640 + ? = 35%of 980 +150%of 850
(a) 372 (b) 842
(c) 962 (d) 1052
Answer: (c)
Solution:
40% of 1640 = 656
35% of 980 = 343
150% of 850 = 1275
Put these values and x as the unknown value in the equation to get
656 + x = 343 + 1275
x = 1618 - 656
x = 962
10. 218% of 1674 = ? x 1800
(a) 0.5 (b) 4
(c) 6 (d) none of these
Answer:(d)
Solution:
218% of 1674 = 2.18 x 1674 = 3649.32
Put this value in the above equation to get
3649.72 = x x 1800
x = 2.0274
11. 60% of 246 is the same as :
(a) 10% of 44 (b) 15% of 1056
(c) 30% of 132 (d) none of these
Answer:(d)
Solution:
60% 0f 246 = 0.6 x 246 = 147.6
or
Checking the options
(a) => 4.4
(b) => 158.4
(c)=> 39.6
12. 270 candidates appeared for an examination, of which 252 passed . the pass percentage
(a) 80% (b) 83(1/3) %
(c) 90(1/3) % (d) 93(1/3)
Answer:(d)
Solution:
Using the formula for calculating percentage we have,
(Total passed/ Total appeared ) x 100 = (252/270 ) x 100 = 93(1/3)
13 . 0.01 is what percent of 0.1
(a) (1/100) (b) (1/10)
(c) 10 (d) 100
Answer:(c)
Solution:
(0.01/0.1) x 100 = (1/10) x 100 = 10 %
14 . what percent of Rs. 2650 is Rs 1987.50
(a) 60% (b) 75%
(c) 80 % (d) 90%
Answer: (b)
Solution:
(1987.50/2650) x 100 = 75 %
15. What percent of a day is 3 hours?
(a) 12(1/2)% (b) 16(2/3)%
(c) 18(2/3)% (d) 22(1/2)%
Answer:(a)
Solution:
(3/24) x 100 = 12 (1/2) %
16. It costs Re 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
(a)Rs. 3920 (b) Rs. 3980
(c)Rs. 4900 (d) Rs. 4920
Answer: (d)
Solution:
Cost of photocopying first 1000 sheets = Rs 1000
Cost of photocopying next 4000 sheets is = 4000 - 0.02 x 4000 = 3920
Therefore total cost = 4920
17. A housewife saved Rs. 2.50 in buying an item on sale.If she spents Rs. 25 for the item, approximately how much percent she saved in the transaction?
(a) 8% (b) 9%
(c)10% (d) 11%
Answer: (b)
Solution:
Total saved 2.5
Total Spent after the discount = 25
Therefore original cost of item = 27.5
And percentage saved = (2.5/27.5)x 100 = 9.09
18.The number which exceeds 16% of it by 42 is :
(a)50 (b)52
(c) 58 (d)60
Answer: (d)
Solution:
Let the number be x then
{(x - 42) /x} x 100 = 16
(x - 42) x 100 = 16x
100x - 4200 = 16x
84x = 4200
x = 50
19. If 15% of 40 is greater than 25% of number by 2. then the number is :
(a)12 (b)16
(c)24 (d)32
Answer : (b)
Solution: Making it an equation and converting the % into numbers and unknown into x
0.15 x 40 - 0.25 x X = 2
6 - 0.25X = 2
4 = 0.25 X
X = 16
20 . The sum of two numbers is 2490. if 6.5% of one number is equal to 8.5% of the other
(a)989,1501 (b)1011,1479
(c)1401, 1089 (d)1411,1079
Answer: (d)
Solution:
We will have two equations in two variables
i.e. x + y = 2490
65 x =85 y
Solving these equation , we will have y = 1079 and x = 1411
21. The difference of two numbers is 20% of the larger number . if the smaller number is 20, then the larger number is :
(a)25 (b)45
(c)50 (d)80
Answer: (a)
Solution:
Writing the above condition into equations,
( x - y ) = 0.2 x x
( x - 20 ) = 0.2 x x
0.8 x = 20
x = 25
22. If one number is 80% of the other and 4 times the sum of their squares is 656, then the numbers are :
(a)4,5 (b)8,10
(c)16,20 (d) None of these
Answer:(b)
Solution:
Here we can check for options or form two equations in two variable to get the answer.
We will follow the first approach
We can observe that the first condition is satisfied by the first three options.
Now check for second condition
(a) 4 ( 16 +25) = 4 (41) = 164 Not satisfied
(b) 4 ( 64 + 100) 4 (164) = 656 satisfied. Hence this is the answer.
23. A person who spends 66(2/3)% of his income is able to save Rs. 1200 per month. His monthly expenses ( in Rs. ) are :
(a) Rs. 1200 (b) Rs. 2400
(c) Rs. 3000 (d) Rs. 3200
Answer: (b)
Solution:
His saving in Percentage is 33 (1/3) % and it is equal to 1200
Therefore, x x (100/3%) = 1200
x / 3 = 1200
x = 3600
And expense = 3600 - 1200 = 2400
24. 10% of of the voters did not cast their in an election between two candidates. 10% of the votes polled were found invalid;id.The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters' list was:
(a) 25000 (b) 33000
(c) 35000 (d) 40000
Answer:(a)
Solution:
First we calculate the valid votes, They are divided into two candidates and the winning candidate got 54 % and losing got 46 %. the difference is 8 % and it is equal to 1620.
i.e. 0.08 x x = 1620
x = 20250 Votes that were valid
and since 10 % votes were invalid.
0.9 x vote polled = 20250
Votes polled = 22500
And Since 10 % did not cast their votes
i.e.e0.9 x Total Voters = 22500
Total Voters = 25000
25. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
(a) Rs. 200 (b) Rs. 250
(c) Rs. 300 (d) None of them
Answer: (b)
Solution:
Total Paid to tailor in 1 week = 550
Let Y is Paid at the rate of P per week
Then X is paid at the rate of 1.2 P per week
And this total comes to be 550 = 1P + 1.2P
2.2P = 550
P= 250
26 . 1100 boys and 700 girls are examined in a test , 42 % of the boys and 30 % of the girls pass . the percentage of the total who failed is :
(a)58% (b) 62(2/3) %
(c)64% (d) 78%
Answer: (b)
Solution:
42% boys passed that means 58 boys failed which is equal to = 638
30% girls passed that means 70 % girls failed which is equal to = 490
Total Appeared = 1800
Total Failed % = (1128/1800) x 100 = 62 (2/3)
27 . If 20% of a= b, then b% of 20 is the same as :
(a) 40%o of a (b)5% of a
(c)20% of a (d)None of these
Answer: (a)
Solution:
Given ,
0.2 x a = b
Then ,
b% X 20 = (b/100) x 20 = {(0.2 x a)/100} x 20 = 0.4 x a or 40 percent of a
29 If p% of p is 36, then p is equal to :
(a) 15 (b)60
(c) 600 (d)3600
Answer: (b)
Solution:
Given
(p/100) x p = 36
P X p = 3600
p = 60
30. If x % of y is 100 and y% of z is 200 then find a relation between x and z
(a)z= (x/ 2) (b) z = 2 x
(c) z= (x/4) (d)z=4 x
Answer: (a)
Solution:
First
(x/100) y = 100
(xy) = 10000 --------- (i)
And (y/100)z = 200
(yz)=20000------- (ii)
Dividing Equation (i) by equation (ii) we get
(x/z) = (1/2)
2x = z
z = (x/2)
31. A man loses 20(1/2) % of his money and after spending 80% of the
remainder, he is left with 159. How much money did he have first?
(a) 800 (b) 1000
(c) 1,200 (d) 500
Answer: (b) 1000
Solution:
Let the money was Rs x .Then after losing 20.5 % he is left with (0.795)x
Now, he spend 80% of the remainder and left with 159.
This means 20% of 0.795x is 159.
=> (0.795x)(0.20) = 159
=> 0.159x = 159
=> x = 159/0.159 = 1000
32. If 120% of a is equal to 80% of b, then (b+a)/(b-a) is equal to
(a) 5 (b) 6
(c) 7 (d) 8
Answer:(a) 5
Solution:
Given that 120% of a = 80% of b,
=> 1.20 x a = (0.80)b
=> a = (8/12)b
=> a = (2/3)b
Thus, (b+a)/(b-a) = {b+(2/3)b }/{b - (2/3)b}
= (5/3)/(1/3) = 5
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(a) 12.5% (b) 40%
(c) 80% (d) 125%
Answer:(d)
Solution:
Applying the formula for percentage,
required percentage = 5/4 x 100 = 125 %
3, Half of 1 percent written as a decimal is :
(a)0.005 (b) 0.05
(c) 0.02 (d) 0.2
Answer: (a)
Solution:
Half of 1 percent is 0.5 % = 0.5/100 = .005
(to convert % to decimal you divide it by 100)
4. what is 15 percent of Rs. 34?
(a) Rs. 3.40 (b) Rs. 3.75
(c) Rs. 4.50 (d) Rs. 5.10
Answer: (d)
Solution:
Applying the formula for conversion of percentage to actual
Actual = (x %/100) x N where x is the percentage given and N is the total Amount.
Here, x = 15 %, N= 34.
Now, put the values to get (15/100) x 34 = 0.15 x 34 = 5.1
5. 63% of 3 x (4/7) is :
(a) 2.25 (b) 2.40
(c) 2.50 (d) 2.75
Answer: (a)
Solution:
First convert the mixed fraction 3 (4/7) to fraction which is = (21 + 4)/7 = 25/7.
Now, to calculate 63% of 25/7.
we have,
( 63/100) x (25/7) = 9/4 = 2.25
6. 88% of 370 + 24% of 210 - ? = 118
(a) 256 (b) 258
(c) 268 (d) 358
Answer:(b)
Solution :
88 % of 370 = 0.88 x 370 = 325.6
24 % of 210 = 0.24 x 210 = 50.4
put these terms in the equation and let the unknown be x then we have,
325.6 + 50.4 - x = 118
376 - x = 118
x = 258
7. 860% of 50 +50% of860 =?
(a) 430 (b) 516
(c) 860 (d) 960
Answer: (c)
Solution:
860 % of 50 = 8.6 x 50 = 430
50% of 860 = 0.5 x 860 = 430
put the values in the above equation to get 430 + 430 = 860
8. 45% of 750 - 25% of 480 = ?
(a) 216 (b) 217.50
(c) 236.50 (d) 245
Answer: (b)
Solution: 45 % of 750 = 337.5
25 % of 480 = 120
Put the values in the above equations to get 337.5 - 120 = 217.5
9. 40% of 1640 + ? = 35%of 980 +150%of 850
(a) 372 (b) 842
(c) 962 (d) 1052
Answer: (c)
Solution:
40% of 1640 = 656
35% of 980 = 343
150% of 850 = 1275
Put these values and x as the unknown value in the equation to get
656 + x = 343 + 1275
x = 1618 - 656
x = 962
10. 218% of 1674 = ? x 1800
(a) 0.5 (b) 4
(c) 6 (d) none of these
Answer:(d)
Solution:
218% of 1674 = 2.18 x 1674 = 3649.32
Put this value in the above equation to get
3649.72 = x x 1800
x = 2.0274
11. 60% of 246 is the same as :
(a) 10% of 44 (b) 15% of 1056
(c) 30% of 132 (d) none of these
Answer:(d)
Solution:
60% 0f 246 = 0.6 x 246 = 147.6
or
Checking the options
(a) => 4.4
(b) => 158.4
(c)=> 39.6
12. 270 candidates appeared for an examination, of which 252 passed . the pass percentage
(a) 80% (b) 83(1/3) %
(c) 90(1/3) % (d) 93(1/3)
Answer:(d)
Solution:
Using the formula for calculating percentage we have,
(Total passed/ Total appeared ) x 100 = (252/270 ) x 100 = 93(1/3)
13 . 0.01 is what percent of 0.1
(a) (1/100) (b) (1/10)
(c) 10 (d) 100
Answer:(c)
Solution:
(0.01/0.1) x 100 = (1/10) x 100 = 10 %
14 . what percent of Rs. 2650 is Rs 1987.50
(a) 60% (b) 75%
(c) 80 % (d) 90%
Answer: (b)
Solution:
(1987.50/2650) x 100 = 75 %
15. What percent of a day is 3 hours?
(a) 12(1/2)% (b) 16(2/3)%
(c) 18(2/3)% (d) 22(1/2)%
Answer:(a)
Solution:
(3/24) x 100 = 12 (1/2) %
16. It costs Re 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
(a)Rs. 3920 (b) Rs. 3980
(c)Rs. 4900 (d) Rs. 4920
Answer: (d)
Solution:
Cost of photocopying first 1000 sheets = Rs 1000
Cost of photocopying next 4000 sheets is = 4000 - 0.02 x 4000 = 3920
Therefore total cost = 4920
17. A housewife saved Rs. 2.50 in buying an item on sale.If she spents Rs. 25 for the item, approximately how much percent she saved in the transaction?
(a) 8% (b) 9%
(c)10% (d) 11%
Answer: (b)
Solution:
Total saved 2.5
Total Spent after the discount = 25
Therefore original cost of item = 27.5
And percentage saved = (2.5/27.5)x 100 = 9.09
18.The number which exceeds 16% of it by 42 is :
(a)50 (b)52
(c) 58 (d)60
Answer: (d)
Solution:
Let the number be x then
{(x - 42) /x} x 100 = 16
(x - 42) x 100 = 16x
100x - 4200 = 16x
84x = 4200
x = 50
19. If 15% of 40 is greater than 25% of number by 2. then the number is :
(a)12 (b)16
(c)24 (d)32
Answer : (b)
Solution: Making it an equation and converting the % into numbers and unknown into x
0.15 x 40 - 0.25 x X = 2
6 - 0.25X = 2
4 = 0.25 X
X = 16
20 . The sum of two numbers is 2490. if 6.5% of one number is equal to 8.5% of the other
(a)989,1501 (b)1011,1479
(c)1401, 1089 (d)1411,1079
Answer: (d)
Solution:
We will have two equations in two variables
i.e. x + y = 2490
65 x =85 y
Solving these equation , we will have y = 1079 and x = 1411
21. The difference of two numbers is 20% of the larger number . if the smaller number is 20, then the larger number is :
(a)25 (b)45
(c)50 (d)80
Answer: (a)
Solution:
Writing the above condition into equations,
( x - y ) = 0.2 x x
( x - 20 ) = 0.2 x x
0.8 x = 20
x = 25
22. If one number is 80% of the other and 4 times the sum of their squares is 656, then the numbers are :
(a)4,5 (b)8,10
(c)16,20 (d) None of these
Answer:(b)
Solution:
Here we can check for options or form two equations in two variable to get the answer.
We will follow the first approach
We can observe that the first condition is satisfied by the first three options.
Now check for second condition
(a) 4 ( 16 +25) = 4 (41) = 164 Not satisfied
(b) 4 ( 64 + 100) 4 (164) = 656 satisfied. Hence this is the answer.
23. A person who spends 66(2/3)% of his income is able to save Rs. 1200 per month. His monthly expenses ( in Rs. ) are :
(a) Rs. 1200 (b) Rs. 2400
(c) Rs. 3000 (d) Rs. 3200
Answer: (b)
Solution:
His saving in Percentage is 33 (1/3) % and it is equal to 1200
Therefore, x x (100/3%) = 1200
x / 3 = 1200
x = 3600
And expense = 3600 - 1200 = 2400
24. 10% of of the voters did not cast their in an election between two candidates. 10% of the votes polled were found invalid;id.The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters' list was:
(a) 25000 (b) 33000
(c) 35000 (d) 40000
Answer:(a)
Solution:
First we calculate the valid votes, They are divided into two candidates and the winning candidate got 54 % and losing got 46 %. the difference is 8 % and it is equal to 1620.
i.e. 0.08 x x = 1620
x = 20250 Votes that were valid
and since 10 % votes were invalid.
0.9 x vote polled = 20250
Votes polled = 22500
And Since 10 % did not cast their votes
i.e.e0.9 x Total Voters = 22500
Total Voters = 25000
25. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
(a) Rs. 200 (b) Rs. 250
(c) Rs. 300 (d) None of them
Answer: (b)
Solution:
Total Paid to tailor in 1 week = 550
Let Y is Paid at the rate of P per week
Then X is paid at the rate of 1.2 P per week
And this total comes to be 550 = 1P + 1.2P
2.2P = 550
P= 250
26 . 1100 boys and 700 girls are examined in a test , 42 % of the boys and 30 % of the girls pass . the percentage of the total who failed is :
(a)58% (b) 62(2/3) %
(c)64% (d) 78%
Answer: (b)
Solution:
42% boys passed that means 58 boys failed which is equal to = 638
30% girls passed that means 70 % girls failed which is equal to = 490
Total Appeared = 1800
Total Failed % = (1128/1800) x 100 = 62 (2/3)
27 . If 20% of a= b, then b% of 20 is the same as :
(a) 40%o of a (b)5% of a
(c)20% of a (d)None of these
Answer: (a)
Solution:
Given ,
0.2 x a = b
Then ,
b% X 20 = (b/100) x 20 = {(0.2 x a)/100} x 20 = 0.4 x a or 40 percent of a
29 If p% of p is 36, then p is equal to :
(a) 15 (b)60
(c) 600 (d)3600
Answer: (b)
Solution:
Given
(p/100) x p = 36
P X p = 3600
p = 60
30. If x % of y is 100 and y% of z is 200 then find a relation between x and z
(a)z= (x/ 2) (b) z = 2 x
(c) z= (x/4) (d)z=4 x
Answer: (a)
Solution:
First
(x/100) y = 100
(xy) = 10000 --------- (i)
And (y/100)z = 200
(yz)=20000------- (ii)
Dividing Equation (i) by equation (ii) we get
(x/z) = (1/2)
2x = z
z = (x/2)
31. A man loses 20(1/2) % of his money and after spending 80% of the
remainder, he is left with 159. How much money did he have first?
(a) 800 (b) 1000
(c) 1,200 (d) 500
Answer: (b) 1000
Solution:
Let the money was Rs x .Then after losing 20.5 % he is left with (0.795)x
Now, he spend 80% of the remainder and left with 159.
This means 20% of 0.795x is 159.
=> (0.795x)(0.20) = 159
=> 0.159x = 159
=> x = 159/0.159 = 1000
32. If 120% of a is equal to 80% of b, then (b+a)/(b-a) is equal to
(a) 5 (b) 6
(c) 7 (d) 8
Answer:(a) 5
Solution:
Given that 120% of a = 80% of b,
=> 1.20 x a = (0.80)b
=> a = (8/12)b
=> a = (2/3)b
Thus, (b+a)/(b-a) = {b+(2/3)b }/{b - (2/3)b}
= (5/3)/(1/3) = 5
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Nice explanation....its very useful
ReplyDeleteThanks a lot you helped me in solving my query.
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