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Data Interpretation basics and tricks to solve DI

Data Interpretation is a major part of Quantitative Aptitude section for any banking exam. 
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 Now, first and foremost, What does Data Interpretation exactly mean?

Interpretation is the process of making sense of numerical data that has been collected, analyzed, and presented.Interpreting data is an important critical thinking skill that helps you comprehend textbooks, graphs, and tables
Majority of questions asked in the Data Interpretation Section are based on the following topics of the Arithmetic Section -
  1. Averages: Sum of all Values/ No. of Values
  2. Ratios:  Comparison of similar terms in Simpler form
  3. Percentages1.A is What % of B
    2.A is what % less than B (or more than B)
    3 Percentages Change:
    Difference:  Final Value- Initial Value x 100
    Initial Value
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If the basics of these topics are clear, attempting DI in the exams becomes comparatively easy


Types of DI graphs/charts that you may encounter in the exams -
  1. Pie Charts ( Most Important)
  2. Line Charts
  3. Bar Graphs
  4. Tabular Charts
  5. Mixed Graphs
Let's Solve Questions:

DI Based on Time and distance

Same concepts applies on person, swimmer

Speed of the Boat= Sb  (in Still Water)

Speed of the Stream or current= Ss  (in Running Water)

Downstream Speed= Sd  =  Sb + Ss  

Upstream Speed= Su  =  Sb - Ss


Awesome DI Tricks | SBI PO Mains 2017 | Memory Based | Boat and Stream | in Hindi


Let's solve following Questions:
Watch the video for How to Solve following DI Problems:
More on Missing DI Tricks in Hindi:


English Video:


Hindi Video:


English Video:



Direction (Q. 1 - 5) : Following table shows the total number of students appeared from different cities, ratio of boys and girls among those appeared students, percentage of passed students and number of passed girls among them.
Hindi Video:

Total AppearedAppeared Boys : GirlsPass % Number of girls passed
S1 72103 : 260%1268
S2 48009 : 766%1146
S356705 : 470%1432
S4640011 : 568%975
S5720011 : 757%1224
S670807 : 565%1565


1 What is the average number of boys appeared in the examination from all six cities ?
A 3851B 3852
C 3853D 3854
2 The total number of girls passed from City S4 is what percentage of the total number of girls appeared from City S4 ?
A.    43.25%B.    48.75%
C.    52.5%D.    55%
3 What is the total number of boys failed in the examination from all six cities together ?
A.    6175B.    6180
C.    6185D.    6195
4 The total number of girls passed in the examination is approximately what percentage of the total number of girls appeared in the examination, taking all cities together ?
A.    42%B.    50%
C.    56%D.    64%
5 The total number of boys passed from City S2 is what percentage more than the total number of girls passed from that city ?
A.    70.2%B.    76.5%
C.    78.4%D.    80%











Practice Question:

Directions (Q. 1-5): Following table shows the total number of students appeared from different cities, ratio of boys and girls among those appeared students, percentage of passed students and number of passed girls among them.
1). The total number of girls passed in the examination is approximately what percentage of the total number of girls appeared in the examination, taking all cities together?
a)  40%
b)  58%
c)  55%
d)  50%
e)  48%
2). What is the approximate difference between the average number of boys appeared in the examination from all six cities and the average number of girls appeared in the examination from all six cities?
a)  1309
b)  1384
c)  1361
d)  1347
e)  1359
3). The total number of boys passed from City Chennai is what percentage of the total number of girls appeared from City Chennai?
a)  152.25%
b)  168.85%
c)  147.25%
d)  176.75%
e)  195.50%
4). What is the total number of boys failed in the examination from all six cities together?
a)  6135
b)  6175
c)  6205
d)  6200
e)  6195
5). The total number of boys passed from City Hyderabad and Kolkata together is what percentage more than the total number of girls passed from that cities?
a)  74.25%
b)  73.80%
c)  76.84%
d)  70.25%
e)  72.85%

Answer Key with Detailed Solution:
1).Girls appeared = (7210/5) × 2 + (4800/16) × 7 + (5670/9) × 4 + (6400/16) × 5 + (7200/18) × 7 + (7080/12) × 5
= 2884 + 2100 + 2520 + 2000 + 2800 + 2950
= 15254
Girls Passed = 1268 + 1146 + 1432 + 975 + 1224 + 1565 = 7610
Required % = (7610/15254) × 100
= 49.88
= 50%
Answer is: d)
2).Boys appeared = {(7210/5) × 3 + (4800/16) × 9 + (5670/9) × 5 + (6400/16) × 11 + (7200/18) × 11 + (7080/12) × 7
= 4326 + 2700 + 3150 + 4400 + 4400 + 4130
= 23106
Average = 23106/6
= 3851
Girls appeared = (7210/5) × 2 + (4800/16) × 7 +(5670/9) × 4+(6400/16) × 5+(7200/18) × 7 + (7080/12) × 5
= 2884 + 2100 + 2520 + 2000 + 2800 + 2950
= 15254
Average = 15254/6
= 2542.33
Difference = 3851 – 2542.33
= 1308.67
≈ 1309
Answer is: a)
3).Appeared girls = (6400/16) × 5 = 2000
Number of boys passed from Chennai = 68/100 × 6400 – 975
= 4352 – 975
= 3377
Required % = 3377/2000 × 100
= 182.45%
Answer is: b)
4).Total number of boys appeared from all cities together = 23106
Total number of boys passed from all cities together
= 3058 + 2022 + 2537 + 3377 + 2880 + 3037= 16911
Total number of boys failed from all cities = Number of boys appeared from all cities – number of boys passed from all cities
= 23106 – 16911
= 6195
Answer is: e)
5).Total number of students passed from City Hyderabad
= 4800 × 66/100 = 3168
Total number of girls passed from City Hyderabad = 1146
Total numbers of boys passed from City Hyderabad = 3168 – 1146 = 2022
Total number of students passed from City Kolkata
= 5670 × 70/100 = 3969
Total number of girls passed from City Hyderabad = 1432
Total numbers of boys passed from City Hyderabad = 3969 – 1432 = 2537
Total number of Boys passed from City Hyderabad and Kolkata = 2537 + 2022
= 4559
Total number of Girls passed from City Hyderabad and Kolkata = 1146 + 1432
= 2578
Required % = (4559 – 2578)/2578 × 100
= (1981 × 100)/2578
= 76.84%
Answer is: c)

Caselet DI
A Caselet is a set of information that is given in paragraph form. In a Caselet, no tables or graphs are given. You have to read the information and draw a table or organize the given data to solve the questions
Company ABC has 3480 employees in eight departments. The difference between the number of employees in the departments F and E is 472. The ratio of employees in departments F to C is 7:6. Ratio of employees in departments G to D is 4:3, while department H has 88 more employees than department A. Department B has 328 employees. Department D has 40 more employees than department E and Department A has 208 employees more than department G.
  1. What is the difference between the number of employees in departments A and F?
    A) 134
    B) 187
    C) 165
    D) 144
    E) 128
  2. What is the difference between the number of employees in departments A and B together and the number of employees in departments C and E together?
    A) 89
    B) 96
    C) 73
    D) 75
    E) 80
  3. In there are 290 and 278 females in departments C and H respectively, then find the ratio of the number of male employees in these two departments respectively.
    A) 8 : 13
    B) 12 : 17
    C) 11 : 13
    D) 9 : 13
    E) 11 : 15
  4. If 5% and 15% of employees in departments D and G are on a tour to a different city, how many employees from these two departments have come to office (it is mandatory to be on work on that particular day)?
    A) 500
    B) 534
    C) 564
    D) 487
    E) 465
  5. Ratio of males to females in departments C and F is 7 : 5 and 4 : 3 respectively. Find the percent of females in these two departments.
    A) 66%
    B) 42%
    C) 48%
    D) 55%
    E) Cannot be determined

Ques. Study the following table carefully and answer the given questions

MobileCost PriceSelling Price% of ProfitProfit
Samsung
35,000
----
----
3,500
Apple
53,000
----
14%
----
Micromax
----
22,000
----
----
LG
28,000
----
----
----
HTC
----
33,000
10%
----
Sony
32,000
----
----
4,000


1.What is the selling price and % of Profit of Sony Mobile ?
1.36,000 and 12.5%
2.36,00 and 15%
3.36,000 and 18%
4.36,000 and 20%
5.36,000 and 23%

2.What is the % of Profit Micromax, If Cost Price of Micromax is 3/5 of Cost Price of HTC mobile ?
1.33 1/3%
2.26 4/9%
3.22 2/9%
4.24 5/9%
5.25 7/9%

3.What is the selling price and % of profit of LG mobile?. If profit is 5oo more than the profit of Samsung mobile .
1.32,000 and 14 1/7%
2.34,000 and 14 4/7%
3.32,000 and 15 2/7%
4.34,000 and 17 5/7%
5.32,000 and 14 2/7%

4.What is the profit earned on Apple mobile ?
1.7360
2.7450
3.7420
4.7560
5.7620

5.What is the ratio between Cost Price and Selling price of Samsung ?
1.14:15
2.10:13
3.10:14
4.14:15
5.10:11



6 A boat runs at 22 km per hour along the stream and 10 km per hour against the stream. Find the ratio of speed of the boat in still water to that of the speed of that stream.
a) 2:3 b) 8:3 c) 5:3 d) 7:3

7 If a man rows 4 km downstream in 3 hours and 2 km upstream in 2 hours then how long will he take to cover 8 km in stationary (still) water?


a) 5 hours b) 9 hours c)8 hours d) none of these



Ques.Study the following graph carefully to answer the given questions
DI Set 83

8 If the ratio of number of boys & girls are in the ratio 3:2 in N and P, find the average number of boys in N and P together ?
1 377.15
2 379.25
3 320.75
4 397.5
5 None of these

9 What will be the ratio of number of boys passed in N to number of girls failed in N, if the number of girls and boys in the ratio 16:11 ?
1 121:24
2 7:11
3 103:529
4 21:37
5 None of these

10 Find the total no of failed students in M, O and Q together ?
1 247
2 330
3 341
4 430
5 None of these

Answers :


1.1

Selling price = 32,000+4000=36,000
% of Profit = 4000/36000 = 12.5%

2.3

HTC mobile Selling Price = 33,000
HTC Mobile % Of Profit  = 10%
means        33,000 -------  110%
                     ?     -------   100% (CP)
Cost Price of HTC = 30,000

Micromax cost price = 3/5 *30,000 = 18,000
 Selling price = 22,000
profit = 4,000
% of profit = (4000/18,000 )*100 = 22 2/9%

3.5

Profit on Samsung mobile =3,500
from that profit on LG mobile = 3500+500=4000
Selling Price of LG mobile = 32,000
% of profit on LG = (4000/28,000)*100 = 14 2/7%

4.3

Cost Price = 53,000
% of profit = 14%
  
53,000 ------------ 100%
 ?        -----------   114%

Selling price = 60,420
profit = 60,420-53,000=7420

5.5

Cost Price = 35,000
Selling Price = 35,000+3500=38500


Ratio = 35000 : 38500 = 10:11


 6-B, 7-  d) none of these.
Solution :
Distance covered in downstream = 4 km
Time taken in downstream = 3 hours.
Rate of downstream = distance / time = a = 4km / 3 hours = 4/3 km/hr.
Distance covered in upstream = 2 km
Time taken in upstream = 2 hours.
Rate of upstream = distance / time = b = 2 km / 2 hours = 1 km/hr.
Speed in still water = (a + b)/2 = (1/2)(4/3 + 1) km/hr = (1/2)(4 + 3)/3 = 7/6 km/hr.
Time Taken to cover 8 km in still water = distance / speed = 8 x 6/7 = 48 / 7 = 7 hours (approximately).
Hence the answer is option d.

8-  4  397.5
Explanation :
N:675 =>Boys = 675*3/5 = 405
P:650 =>Boys = 650*3/5 = 390
Avg = 405+390/2 = 397.5
9-  1  121:24
Explanation :
675 => 400:275 => 16:11 = G:B
G:400*12% =48
B:275*88% =242
242:48 = 121: 24

10- 3  341
Explanation :
M =768*25%= 192
O= 460*15% = 69
Q = 320*25% = 80

Total = 341

 Question: 

1. 
What is the average amount of interest per year which the company had to pay during this period?
A.Rs. 32.43 lakhs
B.Rs. 33.72 lakhs
C.Rs. 34.18 lakhs
D.Rs. 36.66 lakhs
Answer: Option D
Explanation:
Average amount of interest paid by the Company during the given period
    = Rs.[23.4 + 32.5 + 41.6 + 36.4 + 49.4]lakhs
5
    = Rs.[183.3]lakhs
5
    = Rs. 36.66 lakhs

2. 
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
A.0.1%
B.0.5%
C.1%
D.1.25%
Answer: Option C
Explanation:
Required percentage
=[(3.00 + 2.52 + 3.84 + 3.68 + 3.96)x 100]%
(288 + 342 + 324 + 336 + 420)
=[17x 100]%
1710
~= 1%.
3. 
Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?
A.62%
B.66%
C.69%
D.71%
Answer: Option C
Explanation:
Required percentage
=[(288 + 98 + 3.00 + 23.4 + 83)x 100]%
(420 + 142 + 3.96 + 49.4 + 98)
=[495.4x 100]%
713.36
~= 69.45%.
4. 
The total expenditure of the company over these items during the year 2000 is?
A.Rs. 544.44 lakhs
B.Rs. 501.11 lakhs
C.Rs. 446.46 lakhs
D.Rs. 478.87 lakhs
Answer: Option A
Explanation:
Total expenditure of the Company during 2000
    = Rs. (324 + 101 + 3.84 + 41.6 + 74) lakhs
    = Rs. 544.44 lakhs.
5. 
The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?
A.4:7
B.10:13
C.15:18
D.5:8
Answer: Option B
Explanation:
Required ratio
=[(83 + 108 + 74 + 88 + 98)]
(98 + 112 + 101 + 133 + 142)
=[451]
586
=1
1.3
=10.
13



Data Interpretation basics


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