# Problems on Data Interpretations for CAT/SSC/Bank PO

(01) The following bar diagram analysis the scale of a company from 2000 to 2005, examine the diagram and answer the questions

(i). The scale in 2004 are what percentage of those in 2002 ?

(a) 40%
(b) 4%
(c) 110%
(d)1.1%

Solution
The scale in year 2004 = 440 (in thousands of rupees)
The scale in year 2002 = 400 (in thousands of rupees)

Required Percentage
⟹\frac{Scale in year 2004|Scale in year 2002}× 100 \\\ \\ ⟹ \frac{440|400}×100\\\ \\ ⟹ 110 % \\ \\

Option (c) is the right answer

(ii).By what amount are the scale in 2003 more than those 2001 ?

(a) ₹ one hundred
(b) ₹ ten thousand
(c) ₹ one lakh
(d) ₹ ten lakh

Solution

The scale in year 2003 = 420 (in thousands of rupees)

The scale in year 2001 = 320 (in thousands of rupees)

Difference = The scale in year 2003 – The scale in year 2001

= 420 – 320
= 100 (in thousands of rupees)
= 100×1000
= 1,00,000

The amount of one lakh rupees are the scale in 2003 more than 2001

Option (c) is the right answer

(iii). The scale in 2001 are who many times whose of 2002 ?

(a) 8 times
(b) 0.8 times
(c) 2.5 times
(d) 3 times

Solution

The scale in year 2001 = 320 (in thousands of rupees)
The scale in year 2002 = 400 (in thousands of rupees)

= 320/400
= 0.8

The scale in 2001 are 0.8 times of 2002

Option (b) is the right answer

(02) Study the following bar graph and answer the question . gross profit and net profit of a company (in lakhs of rupees) for the years 1994-1997.

(i).The year in which gross profit is double the net profit

(a)1994
(b)1995
(c)1996
(d)1997

In 1994
Gross profit is = 30 (in lakhs rupees)
Net profit is = 10 (in lakhs rupees)

In 1995
gross profit is = 40 (in lakhs rupees)
Net profit is = 15 (in lakhs rupees)

In 1996
gross profit is = 45 (in lakhs rupees)
Net profit is = 25 (in lakhs rupees)

In 1997
gross profit is = 50 (in lakhs rupees)
Net profit is = 25 (in lakhs rupees)

Now,
The year 1997 in which gross profit is double the net profit

Option (d) is the right answer

(ii).The percentage of net profit of 1995 as compered to the gross profit in that year is

(a) 25.2%
(b) 35.5%
(c) 37.5%
(d) 42.5%

Solution

In year 1995
net profit is = 15 (in lakhs rupees)
Gross profit is = 40 (in lakhs rupees)

Required percentage
⟹ 15/40 * 100
⟹ 37.5 %

(iii) .The difference of average gross profit and average net profit calculated for four years is

(a) 18.75 lakhs
(b) 19.75 lakhs
(c) 20.5 lakhs
(d) 22.5 lakhs

In 1994
Gross profit is = 30 (in lakhs rupees)
Net profit is = 10 (in lakhs rupees)
Difference = 20 (in lakhs rupees)

In 1995
gross profit is = 40 (in lakhs rupees)
Net profit is = 15 (in lakhs rupees)
Difference = 25 (in lakhs rupees)

In 1996
gross profit is = 45 (in lakhs rupees)
Net profit is = 25 (in lakhs rupees)
Difference = 20 (in lakhs rupees)

In 1997
gross profit is = 50 (in lakhs rupees) &
Net profit is = 25 (in lakhs rupees)
Difference = 25 (in lakhs rupees)

Difference average in four years
⟹ (20 + 25 + 20 + 25)/4
⟹ 22.5

Option (d) is the right answer

(iv). The gross profit to net profit in a year was greatest in the year

(a) 1994
(b) 1995
(c) 1996
(d) 1997

Year 1994
Gross Profit : Net Profit
3 : 1

Year 1995
Gross Profit : Net Profit
2.6 : 1

Year 1996
Gross Profit : Net Profit
1.8 : 1

Year 1997
Gross Profit : Net Profit
2 : 1

The gross profit to net profit in a year 1994 was greatest in the year

Option (a) is the right answer

(v) For the entire four year as shown, the ratio of total gross profit to total net profit is

(a) 13 : 4
(b) 11 : 6
(c) 11 : 5
(d) 9 : 4

Year        gross profit        net profit
1994            30           :               10
1995            40           :               15
1996            45           :               25
1997            50           :               25

Required ratio
= (30 + 40 + 45 + 50) / (10+15+25+25)
= 11 / 5

Option (c) is the right answer