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Q:

How many kilometers and represented by 1oof latitude?

A) 321 km B) 211 km
C) 111 km D) 91 km
 
Answer & Explanation Answer: C) 111 km

Explanation:
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Filed Under: World Geography

Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre


Then S.P l litre of the mixture = Rs. 11


Profit = 20%


 


Therefore, C.P of the mixture = Rs. 100120×10 = Rs. 25/3 per litre


 



 Therefore, Ratio of water and spirit = 1 : 5

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Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = 100120×96 = Rs. 80


 


Now, let us apply allegation method :


 



 


= 40 : 20 =  2 : 1

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Q:

Study the table below to answer these questions.

Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies

Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings.

1. By how much do the borrowings of Company B exceed that of Company A ?

1. Rs. 1,210,000      2. Rs.1,320,000      3. Rs.1,000,000      4. Rs.1,100,000



2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ?

1. Rs.23 lakh          2. Rs.32 lakh           3. Rs.320 lakh         4. Rs.230 lakh



3. The profit of E is more/less than that of C by _____ %

1. 33.3% less          2. 33.3% more        3. 25% less            4. 25% more



4. What is the sum of profits made by Companies A and B ?

1. Rs.500 lakh       2. Rs.600 lakh       3. Rs.700 lakh       4. Rs.800 lakh



5. What is the sum of the borrowings of all five companies ?

1. Rs.146 lakh      2. Rs.14.6 lakh      3. Rs.14.6 crore      4. None of these

Answer

1. Answer : 4


Explanation : Let the borrowing of Company A = x


Interest of Company A = 234000


Rate of Interest = 18% 


x×18100=234000     x=1300000


 


Let the borrowing of Company B = y 


Interest of Company B = 576000


Rate of interest = 24%


y×24100=576000     y=2400000 


 Required difference = y - x = 2400000 - 1300000 = Rs. 1100000 


 


 


2. Answer : 2


 Explanation : 


 Let the profit of Comapny B = 100%


 Dividend Payout ratio(%) of B = 19.60


 Remaining percent i.e retained earning = 100 - 19.60 = 80.4%


 According to question, 80.4% = Rs.402 lakh


 100% = Rs.500 lakh


 Therefore,  Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh


 


 Let the profit of company D = 100%


 Dividend payout ratio (%) of D = 32.50 


 Remaining percent i.e retained earning = 100 - 32.50 = 67.5% 


 According to question, 67.5% = Rs. 270 lakh 


 100% = Rs. 400 lakh


 Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh 


 Required difference = 130 - 98 = Rs. 32 lakh 


 


 


3. Answer : 3


Explanation : 


Let the profit of Company C = 100% 


Dividend payout ratio of C = 8.75% 


Remaining percent i.e, retained earning = 100 - 8.75 = 91.25 


According to question, 91.25% = Rs. 365 lakh 


100% = Rs. 400 lakh 


Therefore, Profit of C = Rs. 400 lakh


 


Let the profit of company E = 100% 


Dividend payout ratio of E = 28% 


Remaining percent i.e retained earning = 100 - 28 = 72% 


According to question, 72% = Rs.216 lakh 


100% = Rs.300 lakh


Therefore, Profit of E = Rs. 300 lakh 


Required percentage = 100400×100 = 25% less


 


 


4. Answer : 3


 Explanation : 


 Profit made by company A = Rs. 200 lakh


 Profit made by company B = Rs. 500 lakh 


 Required Sum = 200 + 500 = Rs. 700 lakh


 


  


5. Answer : 4 


Explanation : 


 Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

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Subject: Table Charts

Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000       2. Rs.1900000       3. Rs.2160000       4. Rs.1850000       5.Rs.2250000

 

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000     2. Rs.16000     3. Rs.13000     4. Rs.15000     5. Rs.15500

 

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18           2. 34:37           3. 42:41           4. 31:27           5. 27:25

 

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000       2. Rs.6400000       3. Rs.5900000       4. Rs.8700000       5.Rs.7800000

 

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67%             2. 84%             3. 75%             4. 77%             5. 80%

Answer

1. Answer : 3 


Explanation : Expenditure of Company B = 60 lakh 


 Income of Company B = 60×180100= 108 lakh = 1 crore 8 lakh


 Income of Company A  = 10800000×45 = Rs. 8640000


 Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000


 


  


2. Answer : 1


 Explanation :  Total expenditure on the employees of company A = 5000000×28100 = Rs.1400000


 Average Salary of the employees  = 1400000100 = Rs.14000


 


 3. Answer : 1


 Explanation : Tax paid by Company A : Tax paid by Company B


 = 5000000×141006000000×6100


 = 700000 : 3600000  = 35 : 18


  


4. Answer : 2 


Explanation : Difference = 6000000×34100-5000000×28100 


= 2040000 - 1400000 = Rs.640000


 


5. Answer : 5


 Explanation :  Expenditure on Machine and Electricity of Company B = 6000000×18100 = Rs.1080000 = 10.8 lakh


 Expenditure on Machine and Electricity of Company A = 5000000×12100 = Rs.600000 = 6 lakh


 Therefore, Required % = 1080000-600000600000×100  % = 4860×100% = 80%


 Hence expenditure of Company B is 80% more than Company A.

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Subject: Pie Charts

Q:

The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over years 2009 to 2013.

Production of Sugar by Companies P, Q and R during 2009 - 2013

1. The percentage increase in production of Company Q from the year 2009 to the year 2013 is :

1. 80%              2. 90%              3. 60%              4. 100%


2. The average production over the years 2009 - 2013 was maximum for the Company(ies):

1. Q                   2. P                   3. R                   4. P and R


3. The percentage rise or fall in production of Company Q as compared to the previous year is the maximum in the year :

1. 2011             2. 2010             3. 2013             4. 2012


4. The percentage of production of Company R to Production of Company Q is the maximum in the year

1. 2010             2. 2009             3. 2011             4. None of these


5. The ratio of the average production of Company P during the years 2011 to 2013 to the average production of Company Q for the same period is :

1. 23 : 25          2. 27 : 29          3. 15 : 17          4. 9 : 11

Answer

1. Answer : 4


 Explanation : Required Percentage =100-5050×100= 100% 


 


2. Answer : 4 


Explanation : The average production of P = 60+90+50+100+805= 76 


The average production of Q =50+70+70+80+1005  = 74 


The average production of R = 70+80+90+70+705 = 76


Maximum average production = P and R both


  


3. Answer : 2 


Explanation : The percentage rise in 2010 =70-5050×100 = 40% 


The percentage rise in 2011 = 70-7070×100= 0% 


The percentage rise in 2012 = 80-7070×100= 14.28% 


The percentage rise in 2013 =100-8080×100 =25% 


 


4. Answer : 2


Explanation : The percentage of production of Company R to production of Company Q  


in 2009 =7050×100 = 140 


in 2010 =8070×100 = 114.28 


in 2011 =9070×100 = 128.57 


in 2012 = 7080×100= 87.5  


in 2013 = 70100×100= 70 


 


 


5. Answer : 1


Explanation : Average production of company P during the years 2011 to 2013 =50+100+803 = 2303 


Average production of company Q during the years 2011 to 2013 =70+80+1003 = 2503


Required ratio = 23 : 25

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Subject: Bar Charts

Q:

Study the following graph carefully and answer the questions that follow:

Water level of four major Rivers (in meters) in four different Months

1. what was the respective ratio between the level of River - C in September and the water level of River - B in June?

1. 91 : 101           2. 94 : 101           3. 51 : 103           4. None of these


2. If the danger level of all the four rivers is above 215 m, which river has not crossed the danger level in August but has crossed the danger level in July ?

1. River - A          2. River - B          3. River - C          4. River - D


3. What is the average water level of River - A in all the four months together ?

1. 224.50 m        2. 212.25 m        3. 210.75 m        4. 222.25 m


4. In which river and in which month respectively the water level is highest ?

1. River - C in August     2. River - D in September     3. River - B in July     4. River - D in August


5. If the water level of River - A in July is decreased by 20 percent, then what will be the water level of River - A in July ?

1. 156 m              2. 162 m              3. 164 m            4. 152 m

Answer

1. Answer : 4 


Explanation : The water level of River-C in September = 184 and water level of River-B in June = 202


Required ratio = 184 : 202   => 92 : 101 


 


2. Answer :  2


 


3. Answer : 3


Explanation : Average water level of River-A in all months =196+205+230+2124= 210.75 m


 


4. Answer :  4 


 


5. Answer : 3


Explanation : Water level of River-A in July after decreasing =205×80100 = 41 x 4 = 164m

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Subject: Bar Charts

Q:

The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increase by 1 year. The average age of the new student is?

Answer

Total age of 10 students = 150 years


Total age of 15 students = 240 years


Total age of 5 new students = 240 - 150 = 90 years


 Average age of 5 new students = 90/5 = 18 years.

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Subject: Problems on Ages