Wednesday, 2 August 2017

Data Interpretation



Directions (1-5): Study the table and answer the given questions.
Data related to salary structure of five individuals from different organisations in March 

Individuals
Basic
Salary
Total Allowance
Total Deduction
Net Salary
P
Rs. 21800
Rs. 28600
-
-
Q
-
-
Rs. 4350
Rs. 25850
R
Rs. 10400
Rs. 12400
Rs. 2800
Rs. 20000
S
Rs. 11200
Rs. 13800
-
-
T
-
Rs. 21600
Rs. 5700
-

(i) Total deduction = Provident Fund Deduction (which is 10% of basic salary) + Other deductions 
(ii) Net salary = Basic salary + Total allowance - Total deduction 
(iii) Few values are missing in the table (indicated by). A candidate is expected to calculate the missing value, if it is required to answer the given question, on the basis of the given data and information. 

Q1. If other deductions of P was Rs. 4720, then what was his net salary?    
(a) Rs. 42500
(b) Rs. 43500
(c) Rs. 43000
(d) Rs. 41500
(e) Rs. 42000 

S1. Ans.(b) 
Sol.  We know that,
Net salary = Basic salary + Total allowance - Total deduction 
Total deduction = PF deduction (10% of basic salary) + Other deduction 
= 10% of 21800 + 4720 = 2180 + 4720 = 6900 
Net salary = 21800 + 28600 - 6900 = Rs. 43500  

Q2. If Q’s total allowance was Rs. 3000 more than his basic salary, what was his total allowance?  
(a) Rs. 17000
(b) Rs. 17500
(c) Rs. 16000
(d) Rs. 16600
(e) Rs. 15500 

S2. Ans.(d)
Sol. Let the basic salary of Q be Rs. x 
∴ Total allowance of Q is Rs. (x + 3000) 
Net salary = Basic salary + Total allowance - Total deduction 
⇒ 25850 = x + x + 3000 - 4350 
⇒ 25850 = 2x - 1350 ⇒ 2x = 25850 + 1350 
⇒ 2x = 27200 
⇒ x = Rs. 13600 
∴ Total allowance of Q is 13600 + 3000 = Rs. 16600. 

Q3. If the respective ratio of Provident Fund deduction and other deductions of S was 7 : 13, then what was S’s other deduction?  
(a) Rs. 2160
(b) Rs. 2080
(c) Rs. 2120
(d) Rs. 2040
(e) Rs. 1980 

S3. Ans.(b)
Sol. Let the PF deduction and other deduction of S be 7x and 13x 
It is given that, 10% of 11200 = PF deduction 
⇒ 10/100×11200 = PF deduction 
⇒ PF deduction = Rs. 1120 
∴ Other deduction of S =13x/7x×1120 = Rs. 2080   

Q4. Basic salary of S is what per cent more than the basic salary of R?  

 

Q5. If other deductions of T was Rs. 4000, what was his net salary?  
(a) Rs. 32500
(b) Rs. 32900
(c) Rs. 32700
(d) Rs. 31700
(e) Rs. 32300 

S5. Ans.(b)
Sol. Total deduction of T = PF deduction + 4000 
Let the basic salary of T be Rs. x 
So, 5700 = 10% of x + 4000 
⇒ x/10 = 5700 - 4000
⇒ x/10=1700 
⇒ x = Rs. 17000 
Net salary = 17000 + 21600 - 5700 = 38600 - 5700 = Rs. 32900  

Directions (6-10): This data is regarding total number of employees working in administration (admin), operations (ops.) and Other departments of corporate division of companies. A and B study the data carefully and answer the questions given below it.
The total number of employees working in both the companies together is 4800. The respective ratio of number of employees in companies A and B is 5 : 7. Each employee works in only one of the mentioned departments. In company A, 70% of the total employees are males. 60% of the total male employees work in ‘ops’. Out of the remaining male employees 1/8th work in ‘admin’. Out of the total female employees, 24% work in ‘admin’ and 5/8th of the remaining female employees work in ‘ops’. In company B, 80% of the total employees are males. 65% of the total male employees work in ‘ops’. Number of male employees who work in ‘other departments’ in company B is 20% more than the male employees work in ‘other departments’ in company A. Number of female employees who works in ‘ops’ in company B are less than the number of male employees who work for ‘ops’ in the same company, by 75%. Out of the remaining female employees, 25% work in ‘admin’. 

Q6. What amount of total number of male employees in company A work in other departments?  
(a) 590
(b) 490
(c) 390
(d) 290
(e) 190 

(6-10): 
According to the given information,


Company A
(2000)
Company B
(2800)

Females
(600)
Males
(1400)
Females
(560)
Males
(2240)
admin
144
70
49
196
ops
285
840
364
1456
other departments
171
490
147
588

S6. Ans.(b)
Sol. Number of male employees in company A working in others department = 490

Q7. What is the difference between the number of female employees working in Admin department in company A and the number of female employees working in ‘admin’ department in company B?   
(a) 92
(b) 98
(c) 95
(d) 94
(e) 99 

S7. Ans.(c) 
Sol. ∴ Required difference = 144 - 49 = 95 

Q8. What is the total number of female employees who work in ops in company A and B together?  
(a) 681
(b) 781
(c) 689
(d) 649
(e) 788 

S8. Ans.(d)
Sol. Total number of female employees working in ops, company A and company B together 
= 285 + 364 = 649  

Q9. What is the difference between the average number of males working in admin in both the companies together and average number of females working in other departments in both the companies together?   
(a) 26
(b) 36
(c) 16
(d) 24
(e) 14 
 

S9. Ans.(a)
Sol. Average number of males working in admin department in both the companies together =(70 + 196)/2=133 
Average number of females working in other department in both the companies together =(171 + 147)/2=159 
∴ Required difference = 159 - 133 = 26 

Q10. In company B, what is the respective ratio between the total number of employees (both male and female), who work in admin and the total number of employees (both male and female) who work in other department in the same company?  
(a) 2 : 3 
(b) 1 : 3 
(c) 1 : 4 
(d) 3 : 5 
(e) 1 : 5 

S10. Ans.(b)
Sol. Total number of employees (both male and female) who work in admin in company B = 196 + 49 = 245 
Total number of employees (both male and female) who works in other department in company B = 588 + 147 = 735 
∴ Required ratio = 245 : 735 = 49 : 147 = 1 : 3 

Directions (11-16): Refer to the graph and answer the given questions. 

 

Q11. Out of the total number of projects handled by company A in 2005 and 2006 together, 20% were governmental projects. What was the total number of governmental projects handled by company A in 2005 and 2006 together?  
(a) 108
(b) 132
(c) 128
(d) 116
(e) 122 

S11. Ans.(e)
Sol. Number of governmental projects handled by company A in 2005 
And 2006 together = 20% of (360 + 250) =20/100×610=122  

Q12. The project handled by company can be broadly classified into types : governmental projects and non-governmental projects. If the average number of non-governmental projects handled by company B in 2003 and 2004 is 127, then what is the total number of governmental projects handled by the same company in 2003 and 2004 together?  
(a) 204
(b) 188
(c) 192
(d) 196
(e) 212 

S12. Ans.(d)
Sol. Number of non- governmental projects handled by company B in 2003 and 2004 
= 127 × 2 = 254
Number of governmental projects handled by company B in 2003 and 2004 = (130 + 320) -254 = 450 - 254 = 196  

Q13. Number of projects handled by company B decreased by what per cent from 2004 to 2006?  


 S13. Ans.(e)
Sol. Number of projects handled by company B in 2004 = 320 
Number of projects handled by company B in 2006 = 190

Q14. If the number of projects handled by company A increased by 20% from 2007 to 2008 and by 5% from 2008 to 2009, then what was the number of projects handled by company A in 2009?   
(a) 378 
(b) 372
(c) 384
(d) 396
(e) 368 

S14. Ans.(a)
Sol. Number of projects handled by company A in 2008 
= 120% of 300 
=120/100×300=360 
Number of projects handled by company A in 2009 
= 105% of 360 
=105/100×360=378 

Q15. What is the difference between the total number of projects handled by company A in 2003 and 2004 together and total number of projects handled by company B in 2005 and 2007 together?  
(a) 120
(b) 150
(c) 130
(d) 180
(e) 170 

S15. Ans.(b)
Sol. Total number of projects handled by company A in 2003 and 2004 together = 180 + 230 = 410 
Total number of projects handled by company B in 2005 and 2007 together = 210 + 350 = 560 
∴ Required difference = 560 - 410 = 150  


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