Percentage For SBI PO : Set – 10

1) A tradesman, who was selling one kind of tea at Rs. 96 per kg with a loss of 20% and another kind at Rs. 140 per kg with a gain of 25%, mixes the two together in equal ratio. He sells the mixed tea at Rs. 174 per kg. What is his gain percentage?

a) 50%

b) 45%

c) 30%

d) 25%

e) None of these

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a)

Tea1:

   80/100× C.P= 96; C.P= 120                   

Tea2:

   125/100 × C.P= 140; C.P= 112

Total C.P= 120+112/2 = 116

Profit= 174-116/116× 100= 50%

2) Population of a city in 2004 was 1000000.if in 2005 there is an increment of 15%,in 2006 there is a decrement of 35% and in 2007 there is an increment of 45%,then find the population of city at the end of year 2007.

a) 1083875

b) 1045894

c) 2548965

d) 8594257

e) 7892135

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a)

P=1000000

R1=15%

R2=35%

R3=45%

Population of city at the end of year 2007

=P(1+R1/100)(1-R2/100)(1+R3/100)

=1000000*115/100*65/100*145/100

=1083875

3) In an examination, Arun scored 35 marks less than Rahul. Rahul scored 55 more marks than Monika. Rohit scored 85 marks, which is 10 marks more than Monika’s. Raju scored 61 marks less than the maximum marks of the test. What approximate percentage of marks did Raju score in the examination, if he got 44 marks more than Arun?

a) 80%

b) 75%

c) 70%

d) 62%

e) None of these

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c)

Let Arun=A; Rahul=Ra; Rohit=Ro; Raju=Rj; Monika=M

A=Ra-35

Ra=55+M

Ro=85=10+M

Rj=Max-61

Rj=44+A

By solving these, we get Rj=139; Max=200

So Rj%=139/100 × 100 =69.5%=70%

4) In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?

a) 33000

b) 32000

c) 30000

d) 28000

e) None of these

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b)

Let the number of candidates applied for the examination = x
Given that 5% of the applicants were found ineligible.
It means that 95% of the applicants were eligible ( 100% – 5% = 95%)

Given that 85% of the eligible candidates belonged to the general category

It means 15% of the eligible candidates belonged to other

categories (100% 85% = 15%)

95x*15/100*100= 4275

5) If the base of a triangle is increased by 50% and its height is decreased by 50%, then what will be the effect on its area?

a) 50% decrease

b) 75% increase

c) No effect

d) 25% decrease

e) 25% increase

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d)

Area of triangle = (1/2) * base * height
So effect on area = +50 + (-50) + (50)(-50)/100 = -25%

6) In an examination, Ramesh scored 25 marks less than Romit. Romit scored 45 more marks than Sania. Rohan scored 75 marks which is 10 more than Sania. Ravi’s score is 50 less than, maximum marks of the test. What approximate percentage of marks did Ravi score in the examination, if he gets 34 marks more than Ramesh?

a) 90

b) 70

c) 80

d) 60

e) 85

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b)

Rohan’s marks = 75

Sania’s marks=65

Romit’s marks = 110

Ramesh marks = 110-25=85

Ravi got marks = 85+34=119

Total Maximum marks = 119+50=169

Percentage of Ravis mark = 119/169*100=70

7) The total number of girls in a class is 45% more than the total number of boys in the class.The total number of students in the class is 294 then what is the difference between the total number of girls and boys ?

a) 54

b) 52

c) 76

d) 78

e) 70

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a)

No of boys = x
No of girls =X + x(45/100)
= 29x/20
Total = X+(29x/20) = 294
49x = 294×20 = 5880
X = 5880/49 = 120(boys)
Girls = (29×120)/20 = 174
Difference = 174 – 120 = 54

8) The population of a town is 1.8 lakh. It increases by 11% in the first year and decreases by 9% in the second year. What is the population of town at the end of two years?

a) 181812

b) 181814

c) 181816

d) 181818

e) 181820

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d)

180000-100%

19800-(11% of 180000)

180000+19800=199800

9% of 199800=17982

199800-17982=181818

Population of town at the end of two years= 181818

9) In a class of 60 students , 40% of the students passed in Reasoning, 5% of the  students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only  in Quants?

a) 17

b) 33

c) 23

d) 37

e) None of these

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b)

Total students=60
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33

10) Out of the total production of iron from hematite, an ore of iron, 20% of the ore from washed away, and out of the remaining iron, only 25% if pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is

a) 5,00,000 kg

b) 4,00,000 kg

c) 4,50,000 kg

d) 7,50,000 kg

e) None of these

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b)

Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of remain.

Pure iron = 25% of remaining are = 80 x 25/100= 20

20 kg pure iron is from 100 kg hematite.

1 kg pure iron is obtained from = 100/20 hematite.

80000 kg pure iron is = 100/20 x 80000

= 40000 kg hematite

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