**(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)

Required answer

= 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**