Quant Quiz- Profit and Loss

Quant Quiz- Profit and Loss

1.Rohit bought paper sheets for Rs 7200 and spent Rs 200 on transport. 

Paying Rs 600, he had 330 boxes made, which he sold at Rs 28 each. His profit percentage is ?

a.15.5

b.60

c.40 .

d.35

e.None of these

2.A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. 

If he sells the blended variety at Rs 21 per kg, then his gain percent is?

a.10

b.19

c.12

d.22

e.None of these

3.If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

a.25% loss

b.25% profit

c.20% loss

d.20% profit

e.5% profit

4.Reshu bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per dozen. 

She soldthem all to earn 20% profit. At what price per dozen did he sell the oranges ?.

a.14.4

b.16.8

c.16

d.19.2

e.None of these

5.A bought a ratio st and spent Rs 110 on its repairs. 

He then sold it to B at 20% profit,B sold it to C at a loss’ of 10 % and C sold it for Rs 1188 at a profit of 10 %. What is the amOunt for which A bought the radio set?

a.Rs 850

b.Rs 930

c.Rs 890

d.Rs 950

e.None of these

6.Rahim buys mangoes at the rate of 3 kg for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, he must sell?

a.26 kg

b.34 kg

c.32 kg

d.56 kg

e.None of these

7. Ram purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie.

 If he wants to have a gain of 8 %, what must be the selling price per ream?

a.90

b.89

c.87.48

d.86

e.None of these

8. Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?

a.Rs 1.10

b.Rs 11

c.Rs 16.50

d.Rs 27.50

e.None of these

9.A horse and a cow were sold for Rs. 12000 each. 

The horse was sold at a loss ot 20% and the cow at gain ot 20% 1 he entire transaction resulted in?

a.no loss or gain

b.gain of Rs. 1000

c.loss of Rs. 1000

d.gain of Rs. 2000

e.None of these

10.By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain. 20 % in the transaction ?

a.16

b.20

c.18

d.22

e.None of these

Next topic is Time and Work

Answers:

1.(a)
Total investment = Rs. (7200+200+ 600) Rs. 8000. 
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5

2.(c)
Suppose he bought 5 kg and 3 kg of tea. 
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150. 
Sell price = Rs. (8 x 21) = Rs. 168. 
profit % = (18/150) * 100 = 12%

3.(c)
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 25 articles = cost price of 20 articles = $20.
Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 20 - 25 = -$5.
As the profit is in the negative, the merchant has made a loss of $5. 
Therefore, % loss = loss/cp * 100
% loss = -5/25 * 100 = 20% loss.

4.(c)
Total CP = (12*4 + 16 *2) = 80 
SP of 6 dozen oranges = [(120/100 )* 80)] = 96 
sell price per dozen =16

5.(c)
110% of 9O% of 120% of A = 1188.
[(110/100)*(90/100)*(120/100)*A] = 1188 or A = 1188/1000 
since A =1188 hence A = 100 
A purchased it for Rs. (1000— 110) = Rs. 890.

6.(b)
rate of buying = 7; rate of selling = 10 to gain 3 Rs he must buy 1 kg 
for 102 profit he must buy = (102/3) = 34

7.(a)
Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72). 
= Rs. (9600 + 280+48 + 72) = Rs, 10000. 
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.

8.(d)
Cost price of 25 kg = Rs. (15 x 14.50 + lOx 13) = Rs. 347.50. 
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375. 
profit = Rs. (375 — 347.50) = Rs. 27.50.

9.(c)
Total S.P. Rs, 24000. 
C.P. of horse =Rs. [(100/80) x 12000] = 15000. 
C.P. of cow = Rs.[(100/120) x 12000] = 10000 
Total C.P. = Rs. 25000. 
Loss = Rs. (25000—24000) Rs 1000.

10.(c)
Let S.P. of 45 lemons is Rs. x. 
80 : 40 = 120 : x or 80/40 = 120/x or x = 40 * 120 / 80 = 60 
lemons sold For Rs. 60, = 45 
lemons sold For Rs. 24, = (45/60) * 24= 18.

Quant Quiz-Time and distance

Quant Quiz-Time and distance

1.Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?

a.15 hours

b.16 hours

c.17 hours

d.18 hours

e.None of these

2. 2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?

a.11:9

b.13:9

c.17:9

d.21:9

e.None of these

3. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

a.200 Km

b.222 Km

c.224 Km

d.248 Km

e.None of these

4. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

a.16 km

b.14 km

c.12 km

d.10 km

e.None of these

5.If a train runs at 40 km/hour, it reaches its destination late by 11 minutes. But if it runs at 50 km/hour, it is late by 5 minutes only. 

The correct time (in minutes) for the train to complete the journey is?

a.13

b.15

c.19

d.21

e.None of these

6.Busses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. 

What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

a.3 km/hr

b.4 km/hr

c.5 km/hr

d.7 km/hr

e.None of these

7.The distance between two cities A and B is 330km. A train starts from A at 8 (a)m. and travels towards B at 60 km/hr. Another train starts from B at 9 (a)m.

 and travels towards A at 75 km/hr. At what time do they meet?

a.10 am.

b.10 : 30 am.

c.11 am. 

d.11 : 30 am.

e.None of these

8.Two trains are moving on two parallel tracks but in opposite directions. 

A person sitting in the train moving at the speed of 80 km/hr passes the second train in 18 seconds. If the length of the second train is 1000 m, its speed is?

a.100 km/hr

b.120 km/hr

c.140 km/hr

d.150 km/hr

e.None of these

9.In covering a distance of 30 km, Abhay takes 2 hours more than Sameer.

 If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is?

a.5 kmph   

b.6 kmph

c.6.25 kmph

d.7.5 kmph

e.None of these

10.It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. 

It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is?

a.2 : 3

b.3: 2

c.3 : 4

d.4 : 3

e.None of these

Answers:

1.(c)

In this type of questions we need to get the relative speed between them, 

The relative speed of the boys = 5.5kmph-s5kmph

= 0.5 kmph

Distance between them is 8.5 km

Time = Distance/Speed

Time= 8.5km / 0.5 kmph = 17 hrs

2.(a)

We know total distance is 200 Km

If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km [110+90=200km]

So ratio of their speed = 110:90 = 11:9

3.(c)

Let time taken to travel the first half = x hr 

Then time taken to travel the second half = (10 - x) hr 

Distance covered in the the first half = 21x [because, distance = time*speed]

Distance covered in the the second half = 24(10 - x)

Distance covered in the the first half = Distance covered in the the second half

So,

21x = 24(10 - x)

=> 45x = 240

=> x = 16/3

Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]

4.(a)

Let the time in which he travelled on foot = x hour

Time for travelling on bicycle = (9 - x) hr

Distance = Speed * Time, and Total distance = 61 km

So,

4x + 9(9-x) = 61

=> 5x = 20

=> x = 4

So distance traveled on foot = 4(4) = 16 km

5.(c)

If the distance be x km, then x/40-x/50=6/60

 x/4-x/5=1

 x=20 km.

 Required time = (20/40) hour – 11 minutes 

= (1/2×60-11) minutes = 19 minutes 

6.(c) 

Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20+x) kmph 

20× 10/60=8/60(20+x)

200 = 160 + 8x

8x = 40

x=40/8=5 kmph

7.(c) Distance travelled by first train in one hour

= 60 x 1 = 60 km 

Therefore, distance between two train at 9 a.m.

= 330 – 60 = 270 km

Now, Relative speed of two trains = 60 + 75 = 135 km/hr 

Time of meeting of two trains =270/135=2 hrs. 

Therefore, both the trains will meet at 9 + 2 = 11 A.M.

8.(b) Let the speed of second train be x m/s. 

80 km/h = (80×5)/18 m/s

According to the question 1000/(x+(80×5)/18)=18

100 – 18x + 400

 x=666/18 m/s

= 600/18×18/5 km/h = 120 km/h

9.(a)

Let Abhay's speed be x km/hr.

Then, 30/x-30/2x= 3

 6x = 30

 x = 5 km/hr.

10.(c)

Let the speed of the train be x km/hr and that of the car be y km/hr.

Then, 120/x+480/y= 8        1/x+4/y=1/15 ....(i)

And, 200/x+400/y=25/3      1/x+2/y=1/24 ....(ii)

Solving (i) and (ii), we get: x = 60 and y = 80.

Ratio of speeds = 60 : 80 = 3 : 4.

Data Interpretation Quiz

Data Interpretation Quiz

Directions: (1- 5 ) :- The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. 

Study the pie-chart and the answer the questions based on it.Various Expenditures (in percentage) Incurred in Publishing a Book

1. If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost,

 and then what will be amount of royalty to be paid for these books?

1. Rs. 19, 450

2. Rs. 21, 200

3. Rs. 22, 950

4. Rs. 26, 150

5. None of these

2. What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?

1. 15°

2. 24°

3. 54°

4. 48°

5. None of these

3. The price of the book is marked 20% above the C.P. If the marked price of the book is Rs 180 , 

then what is the cost of the paper used in a single copy of the book?

1. Rs. 36

2. Rs. 37.5

3. Rs. 42

4. Rs. 44.25

5. None of these

4. If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, 

then what should be the selling price of the book so that the publisher can earn a profit of 25%?

1. Rs. 187.50

2. Rs. 191.5

3. Rs. 175

4. Rs. 180

5. None of these

5. what % Royalty on the book is less than the printing cost?

1. 5%

2. 33 1/5 %

3. 20 %

4. 25 %

5. None of these

Direction  (6-10): Study the following graph carefully and answer the questions given below it.

6. What is the total number of students studying B.Sc in all the colleges together?

(1) 1825

(2) 1975

(3) 1650

(4) 1775

(5) None of these

7. What is the respective ratio of total number of students studying B.Sc. 

in the Colleges C and E together to those studying B.A. in the Colleges A and B together?

(1) 24 : 23

(2) 25 : 27

(3) 29 : 23

(4) 29: 27

(5) None of these

8. What is the respective ratio of total number of students studying B.Sc., 

B.A. and B. Com in all the colleges together?

(1) 71 : 67 : 75

(2) 67 : 71 : 75

(3) 71 : 68 : 75 

(4) 75 : 71 : 68

(5) None of these

9. Number of students studying B.Com.

 in College C forms approximately what per cent of the total number of student studying B. com in all the Colleges together?

(1) 39%

(2) 21%

(3) 44%

(4) 33%

(5) 17%

10. Number of students studying B. A. in College B forms what per cent of total -

number of students studying all the disciplines together in that college? ( Rounded off to two digits after decimal)

(1) 26.86

(2) 27.27

(3) 29.84

(4) 32.51

(5) None of these

ANSWERS
1. : (3)
Let the amount of Royalty to be paid for these books be Rs. r.
Then, 20 : 15 = 30600 : r
      r = Rs. 22,950

2. : (3)
Central angle corresponding to Royalty = (15% of 360)º
[(15/100) *360] = 54

3. : (2)
Clearly, marked price of the book = 120% of C.P.
Also, cost of paper = 25% of C.P
Let the cost of paper for a single book be Rs. n.
Then, 120 : 25 = 180 : n
n =  Rs. 37. 50

4. : (1)
For the publisher to earn a profit of 25%, S.P. = 125% of C.P.
Also Transportation Cost = 10% of C.P
Let the S.P. of 5500 books be Rs. x.
Then, 10 : 125 = 82500 : x.
x = Rs. [(125 x 82500) x 10]= Rs. 1031250
S.P. of one book = Rs. (1031250/ 5500)= Rs. 187.50

5. : (4)
Printing Cost of book = 20% of C.P.
Royalty on book = 15% of C.P.
Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P.
Percentage difference = [ (Difference/Printing) * 100%
= [ ( 5% of C.P./Printing Cost ) x 100%]
= 25%

Data Interpretation Quiz

 Data Interpretation Quiz

Directions (1-5): Study the following diagrams carefully and answer the given questions.
Polio cases reported from various states during the given years.
Total Polio Cases in India

1. In which state the difference between polio cases in 2002 and 2003 is 11, 

and which had zero incidence in 2001?
(1) W.B.
(2) Delhi
(3) M.P.
(4) Haryana
(5) Bihar

2. What is the difference between the average number of polio cases of the five given states in 2002 and that in 2003?
(1) 35
(2) 37
(3) 38
(4) 39
(5) None of these

3. Approximately what per cent of polio-

 cases was reported in Bihar in 2002 with respect to total cases reported in India that year?
(1) 6%
(2) 6.5%
(3) 7%
(4) 7.5%
(5) None of these

4. Polio cases in Haryana in 2003 and Bihar in 2001 together is what per cent of the polio cases in Delhi in 2002?
(1) 120%
(2) 80%
(3) 125%
(4) 75%
(5) None of these

5. Find the ratio between the total no. of cases in the five given states to that in the rest of country in 2001.
(1) 9 : 67
(2) 2 : 29
(3) 29 : 4
(4) 9 : 58
(5) None of these

Directions (6-10): 

Following line graph shows the ratio of import and export of two companies -

Aand B over the years 2004-2009. Answer the questions based on this graph.
 
6. If the import of Company A is Rs 48 lakhs in year 2007 then what is its export in that year?
(1) 40 lakhs
(2) 57.6 lakhs
(3) 42 lakhs
(4) 54 lakhs
(5) None of these

7. What is the ratio of number of years in which Company A’s export is less than import and the number of years in which Company B’s import less than export?
(1) 4 : 1
(2) 1 : 3
(3) 5 : 6
(4) 3 : 2
(5) None of these

8. If the export of Company A in 2006 and export of Company B in 2007 is 75 lakhs each, 

then the import of Company A in 2006 is what percent of the import of Company B in 2007?
(1) 75%
(2) 80%
(3) 100%
(4) 120%
(5) 150%

9. If the import of Company B is 60 lakhs in 2008, then what is the export of Company A in the same year?
(1) 30 lakhs
(2) 45 lakhs
(3) 60 lakhs
(4) 90 lakhs
(5) None of these

10. What is the ratio of the ratio of import to export of Company B in year 2004 and the ratio of export to import of Company A in year 2007?
(1) 2 : 3
(2) 3 : 2
(3) 5 : 6
(4) 4 : 5
(5) 24 : 25

ANSWERS

1. 3; MP A slight look is sufficient to answer this question.

2. 2; Reqd difference

 =  ((37-3) + (39-28) + (121-13) + (21-10)+(24-3))/5

 =  185/5 = 37

3. 4; Total P cases in Bihar (2002) = 121

 Total P cases in India (2002) = 1600

 Reqd answer = 121/1600 × 100 = 7.5% (approx)

4. 3; Reqd percentage = (3+27)/24 × 100 = 125%

5. 4; Total P cases in India (2001) = 268

 Total P cases in the given states (2001) = 36

 Hence, reqd. ratio = 36/(268 - 36) = 36/232 = 9 : 58.

6. 1; i/e  = 1.2

 e = i/1.2 = 48/1.2  = 40

7. 2; For A, in years 2007 and 2009, import > export

 For B, in all six years, import < export

 Ratio = 2/6 = 1/3 = 1:3

8. 2; For A, in 2006, i/e = 0.64

 Income = 0.64 × 75 = 48

 For B, in 2007, i/e  = 0.8

 i = 0.8 × 75 = 60

 % = 48/60 × 100 = 80%

9. 5; Data is not sufficient.

10. 5; In 2004,  i_B / e_B = 0.8 = 4/5 

 In 2007, i_A / e_A  = 1.2 = 6/5 

        e_A / i_{A    = 5/6}  

 Ratio between them =  (4/5)/(5/6) = 24:25

Data Interpretation Quiz

SBI PO 2015 - Data Interpretation Quiz

 Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses.

1.    If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.

(1) Rs. 20 ,000

(2) Rs. 15,000

(3) Rs. 30,000

(4) Rs. 40,000

(5) Rs. 35,000

2.    If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, 
then his savings would be what percentage of his expenses?

(1) 15%

(2) 25%

(3) 30%

(4) 10%

(5) None of These

3.    Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.

(1) 4,500

(2) 5,000

(3) 7,000

(4) 6,500

(5) None of these

4.    Find the angle made by the expenditure on rent and ‘others’ put together.

(1) 150⁰

(2) 160⁰

(3) 180⁰

(4) 200⁰

(5) None of these

5.    As prices dropped, Raju’s expenditure on clothes dropped by 10%. As a result of this, his expenditure on ‘others’ decreased from Rs 10,500 to Rs 10,290.
What percentage of his expenditure on ‘others’ was spent on clothes?

(1) 12%

(2) 30%

(3) 16%

(4) 20%

(5) None of these

Direction(6 – 10) :Study the following line graph which gives the number of students who joined and left the school in the beginning of the year for six years from 1996 to 2001.

Initial strength of the school in 1995 was 3000. Answer questions based on the line graph given below.

6.    The strength of the school increased from 1997 to 1998 by what percent ?

(1) 1.7 %                           (2) 1.8 %

(3) 1.9 %                           (4) 2 %

(5) None of these

7.    The number of students studying in the school during 1999 was :

(1) 3100                             (2) 3000

(3) 3150                             (4) 3250

(5) None of these

8.    During which of the following pairs of years, the strength of the school was same ?

(1) 1997 and 1998

(3) 1998 and 2000

(3) 1999 and 2001

(4) 1996 and 2000

(5) None of these

9.    The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001 ?

(1) 90.75 %                       (2) 91.75%

(3) 92.75%                        (4) 93.75%

10.  Among the given years the largest number of students joined in which year ?

(1) 1999                             (2) 2000

(3) 2001                             (4) 1998

(5) None of these

Answers With Solutions :

1.    Percentage of his expenditure spent on rent =15%
Percentage of his expenditure spent on transport and food =30%

⇒ 30%−15%=15% = Rs 4500

Monthly expenses: 

= 100%  = ( 100/15) X 4500

= Rs. 30,000

2.    Let his monthly income be Rs x.

Original savings = Rs. ( 10/100)x

New Savings = ( 10/100)x + 20/100(10x/100)

= Rs. ( 12/100)x

Original expenditure = x – (10/100)x

= Rs. ( 90/100)x

New expenditure :

= (90/100)x – (20/100) ( 90x/100)

= Rs. ( 72/100)x

Required  percentage :

[(12x/100)/(72x/100)] x 100

= 16.66%

3.    Expenditure on entertainment:
=20%of(35% of others)=7% of the total expenses
⇒ 2100=7% of total expenses

Also education accounts for 20% of the total expenses.

⇒ Expenditure on education: 

= 20% of the total= Rs [ 2100 x ( 20/7)]

= Rs. 6,000

4.    Total expenditure on rent and others:
=15%+35%
=50%

Required angle = ( 50/100) x 360⁰

= 180⁰

5.    Decrease in expenditure on ‘others’:
=10,500−10,290= Rs 210
⇒ initial expenditure on clothes: 

= 210 (100/10)

= Rs. 2100

ð  Required percentage:

= ( 2100/10,500) x 100

= 20%

Directions ( 6-10):

6.    (1)

Explanation: Let analyse the graph before answering question.
Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150
Number of students in 2000 = 3150-450+400 = 3100
Number of students in 2001 = 3100-450+550 = 3200
Above analysis will help us solving problems for this line graph.
Lets be back on question now,
Percentage increase in strength of the school from 1997 to 1998 will be,
= ((3000−2950)/2950∗100)%=1.69%

So this is approx equal to 1.7%

7.    (3)

Explanation: Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150

8.    (4)

Explanation: Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150
Number of students in 2000 = 3150-450+400 = 3100
Number of students in 2001 = 3100-450+550 = 3200
From from above options we find in 1996 and 2000 number of students was same i.e. 3100

9.    (4)

Explanation: Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150
Number of students in 2000 = 3150-450+400 = 3100
Number of students in 2001 = 3100-450+550 = 3200
In 2001 students = 3200
In 1998 students = 3000

Required Percentage =(3000/3200∗100)%=93.75%

10.  (3)

Explanation: Clearly from the line graph we can judge it was in year 2001.

Data Interpretation Quiz

Directions—(Q. 1–5) Study the following graph carefully to answer the questions—

The following Bar graph gives the number of products manufactured and sold by a company over the years. (in thousands)

1.    What is the difference in the number of products manufactured by the Company in the year 2009 and 2008 ?

(1) 4000                

(2) 5500                

(3) 3500

(4) 4500                

(5) None of these 

2.    The number of products sold by the company in the year 2004 is what per cent of the number of products manufactured by it in that year ? (Rounded off to two digits after decimal)

(1) 71·43              

(2) 67·51  

(3) 81·67  

(4) 56·29              

(5) None of these

3.    What is the per cent increase in the number of products manufactured by the company in the year 2006 from the previous year ? (Rounded off to two digits after decimal)

(1) 19·25              

(2) 33·33  

(3) 10·45  

(4) 42·66              

(5) None of these

4.    What is the respective ratio of the number of products not sold by the company in the year 2007 to those not sold in the year 2005 ?

(1) 3 : 1                 

(2) 6 : 5                 

(3) 1 : 3

(4) 5 : 6                 

(5) None of these

5.    What is the  average number of products manufactured by the company over all the years together ?

(1) 36550              

(2) 39480  

(3) 41220  

(4) 43330              

(5) 34420

Directions—(Q. 6–10) Study the following graph carefully to answer the questions that follow—

The following line graph gives distance (in km) travelled by five different trucks in a day.

6.    What is the respective ratio of the distance travelled by Truck A to the distance travelled by Truck D?

(1) 17 : 19             

(2) 11 : 15 

(3) 19 : 17 

(4) 15 : 11             

(5) None of these

7.    What is the average distance travelled by all the Trucks together ?

(1) 510 km                       

(2) 515 km           

(3) 425 km           

(4) 475 km                       

(5) None of these

8.    If Truck C covered the given distance at the average speed of 55 km/hr, what was the time taken by it to cover this distance?

(1) 12 hours          

(2) 10 hours          

(3) 8 hours

(4) 6 hours            

(5) None of these

9.    The distance travelled by Truck A is approximately what per cent of the total distance travelled by Truck E and C together ?

(1) 44                    

(2) 50                    

(3) 52                    

(4) 58                    

(5) 55

10.  If the time taken by Truck B to cover the given distance was 8 hours, what was the average speed of the truck ?

(1) 51·75 km/hr                

(2) 45·25 km/hr    

(3) 52·25 km/hr                

(4) 43·75 km/hr    

(5) None of these

 ANSWERS WITH EXPLANATION

1.     (5) Difference = 52500 – 47500 = 5000

2.    (1) Required percentage =( 25/35) X 100 = 71.43 %

3.     (5) Required percentage = [( 42.5 – 37.5)/(37.5)]X 100= 13.33 %

4.    (3) Required ratio = (45 – 42.5) : (37.5 – 30) = 1 : 3

5.    (4) Required average = (35000 + 37500 + 42500 + 45000 + 47500 + 52500)/6  =43330 (approx).

6.    (3) Required ratio = 475 : 425 = 19 : 17

7.    (5) Total distance travelled by all trucks = 475 + 350 + 550 + 425 + 525 = 2325 km

Average distance = 2325/5 = 465 km .

8.    (2) Time taken by truck C = 550/55 = 10 hours.

9.    (1) Required percentage =( 475)/ ( 550 + 525) ] X 100 = 44% ( approx)

10.  (4) Speed of truck B = 350/8 = 43.75 km/hr