Hello and welcome to exampundit. Here is a set of Quantitative Aptitude quiz on Percentage problems.
Q:1-Deepak’s annual income is Rs. 8,40,000.He spends 20% of his monthly income on house rent, 30% on household items and 20% on transport. If he invests two-third of the remaining amount in mutual funds, what is the amount left with him every month?
(a) 6900
(b) 6950
(c) 7000
(d) 7050
(e) 7100
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Deepak’s monthly income= 840000/12
= 70000 / month
He spends, 20% (HR)+30%(HI)+20%(Tr.) =70% of his monthly income
Remaining amount of income = 30% of 70000
= 21000
He invest Two-third of remaining income,
= 2/3×21000
= 14000
Amount left every month = 21000-14000
=7000.
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Q:2-The price of a T.V. set is decreased by 20% as a result of which the sale increased by 25%.what will be the effect on the total revenue of the shop?
(a) No effect
(b) 5% increase
(c) 5% decrease
(d) 10% increase
(e) 10% decrease
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: A
Explanation:
Let original price per T.V.= 100
Original sale = 100 T.V.
Then total revenue = Rs.(100×100)
= 10,000
New revenue = (80×125)
= 10,000
So, ans would be No effect.
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Q:3-Mr.Vikas a businessman had the income in the year 2015, such that he earned a profit of 25% on his investment in the business. In the year 2016,his investment was less by Rs.10000 but still had the same as that in 2015.thus, the present profit earned in 2016 increased by 10%. What was his investment in 2015?
(a) 240000
(b) 250000
(c) 260000
(d) 270000
(e) 280000
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let his investment in the year 2015 = x
Then, income in 2015 = Rs.[x+25% of x]
= Rs.125x/100
Income in 2016 = [(x-10000)130/100 ]
125x/100 = (x-10000)130/100
X = 260,000.
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Q:4- In a fraction, if numerator is increased by 35% and denominator is increased by 80%, then what fraction of the original is the new fraction ?
(a) 3/2
(b) 4/3
(c) 3/4
(d) 2/3
(e) none
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let the original fraction be x/y.
Then, new fraction = 135% of x/180% of y
= 3x/4y
New fraction/original fraction= 3x/4y × y/x
= 3/4 .
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Q:5- A student who got 25% marks fails by 10 mark marks but another student who gets 35% marks get 20 marks more than the passing marks. Find maximum and passing marks?
(a) 250, 85
(b) 300, 50
(c) 300, 85
(d) 300,100
(e) 300, 120
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
passing mark equal for both the student.
So 25%of marks + 10 = 35% of marks – 20
10% = 30
So 100%= 300
Maximum marks = 300
Passing marks = 25% of 300 + 10
= 85 marks.
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Q:6- A student has to obtain 33% of the total marks to pass. He got 200 marks and failed by 31 marks. The maximum marks are:
(a) 700
(b) 710
(c) 720
(d) 730
(e) 740
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: A
Explanation:
Passing marks = 33%
So 200 + 31 = 33%
1% = 7
100%= 700
Maximum marks = 700.
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Q:7- A salesman is allowed 4% discount on the total sales made by him plus a bonus of 1% on the sales over Rs.10,000.If his total earnings were Rs.2000,then his total sales were:
(a) 40000
(b) 41000
(c) 42000
(d) 43000
(e) 44000
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let the total sales be Rs. X.
Then 4% of x + 1% of (x-10000) = 2000
4x/100 + (x-10000)/100 = 2000
5x = 200000 + 10000
X = 42000.
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Q:8- In a recent survey, 40% of house contained two or more people. Of those houses containing only one person, 25% were having only a male. What is the percentage of all houses, which contain exactly one female and no males?
(a) 30%
(b) 35%
(c) 40%
(d) 45%
(e) None
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: D
Explanation:
Let the total number of houses be x.
Then, Number of houses having one female only= (100-25)% of (100-40)% of x
= (75/100 × 60/100 × x )
= 9x/20
Required percentage = (9x/20 × 1/x × 100)%
= 45%.
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Q:9- The present population of a state estimated to be 16 crores is expected to increase to 25 crores during the next two years. The uniform rate of growth is:
(a) 22%
(b) 23%
(c) 24%
(d) 25%
(e) 26%
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: D
Explanation:
16 crores × ( 1+R/100)2 = 25 crores
(1+R/100)2 = 25/16
1 + R/100 = 5/4
R = 25%.
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Q:10- In a company, the ratio of total number of female and total number of male employees is 6:11. The company has only two branches –one is in Noida and another is in Gurugram. If the total number of female employees in Noida branch is 480,which is 40% of the total female employees in the company, what is total number of male employees in the company?
(a) 2100
(b) 2200
(c) 2300
(d) 2400
(e) 2500
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: B
Explanation:
Ratio of Female and Male = 6:11
Female in Gurugram = 480 (which is 40% of total female)
40% = 480
Then total Female in company = 1200
6’s Ratio = 1200
Then 1’s = 200
So total number of male employees is,
11’s = 11 × 200
= 2200.
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Regards
Team EP
Q:1-Deepak’s annual income is Rs. 8,40,000.He spends 20% of his monthly income on house rent, 30% on household items and 20% on transport. If he invests two-third of the remaining amount in mutual funds, what is the amount left with him every month?
(a) 6900
(b) 6950
(c) 7000
(d) 7050
(e) 7100
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Deepak’s monthly income= 840000/12
= 70000 / month
He spends, 20% (HR)+30%(HI)+20%(Tr.) =70% of his monthly income
Remaining amount of income = 30% of 70000
= 21000
He invest Two-third of remaining income,
= 2/3×21000
= 14000
Amount left every month = 21000-14000
=7000.
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Q:2-The price of a T.V. set is decreased by 20% as a result of which the sale increased by 25%.what will be the effect on the total revenue of the shop?
(a) No effect
(b) 5% increase
(c) 5% decrease
(d) 10% increase
(e) 10% decrease
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: A
Explanation:
Let original price per T.V.= 100
Original sale = 100 T.V.
Then total revenue = Rs.(100×100)
= 10,000
New revenue = (80×125)
= 10,000
So, ans would be No effect.
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Q:3-Mr.Vikas a businessman had the income in the year 2015, such that he earned a profit of 25% on his investment in the business. In the year 2016,his investment was less by Rs.10000 but still had the same as that in 2015.thus, the present profit earned in 2016 increased by 10%. What was his investment in 2015?
(a) 240000
(b) 250000
(c) 260000
(d) 270000
(e) 280000
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let his investment in the year 2015 = x
Then, income in 2015 = Rs.[x+25% of x]
= Rs.125x/100
Income in 2016 = [(x-10000)130/100 ]
125x/100 = (x-10000)130/100
X = 260,000.
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Q:4- In a fraction, if numerator is increased by 35% and denominator is increased by 80%, then what fraction of the original is the new fraction ?
(a) 3/2
(b) 4/3
(c) 3/4
(d) 2/3
(e) none
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let the original fraction be x/y.
Then, new fraction = 135% of x/180% of y
= 3x/4y
New fraction/original fraction= 3x/4y × y/x
= 3/4 .
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Q:5- A student who got 25% marks fails by 10 mark marks but another student who gets 35% marks get 20 marks more than the passing marks. Find maximum and passing marks?
(a) 250, 85
(b) 300, 50
(c) 300, 85
(d) 300,100
(e) 300, 120
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
passing mark equal for both the student.
So 25%of marks + 10 = 35% of marks – 20
10% = 30
So 100%= 300
Maximum marks = 300
Passing marks = 25% of 300 + 10
= 85 marks.
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Q:6- A student has to obtain 33% of the total marks to pass. He got 200 marks and failed by 31 marks. The maximum marks are:
(a) 700
(b) 710
(c) 720
(d) 730
(e) 740
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: A
Explanation:
Passing marks = 33%
So 200 + 31 = 33%
1% = 7
100%= 700
Maximum marks = 700.
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Q:7- A salesman is allowed 4% discount on the total sales made by him plus a bonus of 1% on the sales over Rs.10,000.If his total earnings were Rs.2000,then his total sales were:
(a) 40000
(b) 41000
(c) 42000
(d) 43000
(e) 44000
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: C
Explanation:
Let the total sales be Rs. X.
Then 4% of x + 1% of (x-10000) = 2000
4x/100 + (x-10000)/100 = 2000
5x = 200000 + 10000
X = 42000.
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Q:8- In a recent survey, 40% of house contained two or more people. Of those houses containing only one person, 25% were having only a male. What is the percentage of all houses, which contain exactly one female and no males?
(a) 30%
(b) 35%
(c) 40%
(d) 45%
(e) None
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: D
Explanation:
Let the total number of houses be x.
Then, Number of houses having one female only= (100-25)% of (100-40)% of x
= (75/100 × 60/100 × x )
= 9x/20
Required percentage = (9x/20 × 1/x × 100)%
= 45%.
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Q:9- The present population of a state estimated to be 16 crores is expected to increase to 25 crores during the next two years. The uniform rate of growth is:
(a) 22%
(b) 23%
(c) 24%
(d) 25%
(e) 26%
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: D
Explanation:
16 crores × ( 1+R/100)2 = 25 crores
(1+R/100)2 = 25/16
1 + R/100 = 5/4
R = 25%.
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Q:10- In a company, the ratio of total number of female and total number of male employees is 6:11. The company has only two branches –one is in Noida and another is in Gurugram. If the total number of female employees in Noida branch is 480,which is 40% of the total female employees in the company, what is total number of male employees in the company?
(a) 2100
(b) 2200
(c) 2300
(d) 2400
(e) 2500
[su_spoiler title="Answer" style="fancy" icon="arrow-circle-1"]
Option: B
Explanation:
Ratio of Female and Male = 6:11
Female in Gurugram = 480 (which is 40% of total female)
40% = 480
Then total Female in company = 1200
6’s Ratio = 1200
Then 1’s = 200
So total number of male employees is,
11’s = 11 × 200
= 2200.
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Regards
Team EP