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Directions (1-5): Study the following graphs and answer the given questions.

Directions (1-5): Study the following graphs and answer the given questions.

**Total investment of Virat and Krish in six schemes (in lakhs)**

1. What is the respective ratio between total amounts invested by Virat in schemes B and E together and total amount invested by Krish in the same schemes together?

2. Scheme A offers simple interest at a certain rate of interest. If the difference between the interests earned by Virat and Krish from scheme A after 5 year is Rs 638400, then what is the rate of interest per annum?

3. Amount invested by Virat in scheme H is equal to the amount invested by him in scheme A. The rate of interest per annum of schemes A and H are same. The only difference is scheme H offers compound interest, whereas the scheme A offers simple interest. If the difference between the interests earned by Virat from both the scheme after 2 year is Rs 70041, then what is the rate of interest? (Approximately)

4. If scheme E offers compound interest at 16% per annum, then what is the difference between interest earned by Virat and Krish from scheme E after 3 years?

5. If Krish invested in Scheme F for 4 years. If scheme F offers simple interest at 9% per annum for the first two years and then the sum with interest is invested for compound interest at 15% per annum for the third and fourth year, then what will be the interest earned by Krish after 4 year?

**Directions (6-10): Study the following and answer the following questions. **The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**

Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

6. If the expenditure of Company A in 2013 is 25% more than the expenditure of Company B in 2015, then the income of Company B in 2015 is what percent less than the income of Company A in 2013?

7. If in the year 2010, the profit made by company A was Rs 60 crores, then what was its income in that year?

8. If in the year 2012, the expenditure of both companies A and B were equal, then what is the ratio of their respective incomes of Company A and B in the same year?

9. If company A and company B has equal profit in 2013, then income earned by company B is approximately what percent of the expenditures incurred by company A?

10. During which year the ratio of percentage profit earned to that in previous year by the company A is maximum?

**Check your Answers below:**

**Directions (1-5): Study the following graphs and answer the given questions.**

**Total investment of Virat and Krish in six schemes (in lakhs)**What is the respective ratio between total amounts invested by Virat in schemes B and E together and total amount invested by Krish in the same schemes together?

Ans:3

Total amount invested by Virat in schemes B and E together= 56% of 6000000+ 40% of 7200000 = Rs 6240000

Similarly, Total amount invested by Krish in schemes B and E together= 44% of 6000000+ 60% of 7200000 = Rs 6960000

Required ratio= 6240000:6960000

= 26:29##### 2. Question

**Directions (1-5): Study the following graphs and answer the given questions.**

**Total investment of Virat and Krish in six schemes (in lakhs)**

Scheme A offers simple interest at a certain rate of interest. If the difference between the interests earned by Virat and Krish from scheme A after 5 year is Rs 638400, then what is the rate of interest per annum?Ans:1

Amount invested by Virat in scheme A= 64% of 7600000

= Rs 4864000

Amount invested by Krish in scheme A=7600000-4864000

= Rs 2736000

Let the rate of interest be r% per annum.

Then [(4864000*r* 5)/100]-[(2736000*r*5)/100] = 638400

2128000*r*5= 63840000

r=6%##### 3. Question

**Directions (1-5): Study the following graphs and answer the given questions.**

**Total investment of Virat and Krish in six schemes (in lakhs)**

Amount invested by Virat in scheme H is equal to the amount invested by him in scheme A. The rate of interest per annum of schemes A and H are same. The only difference is scheme H offers compound interest, whereas the scheme A offers simple interest. If the difference between the interests earned by Virat from both the scheme after 2 year is Rs 70041, then what is the rate of interest? (Approximately)Ans:3

Amount invested by Virat in schemes A and H=64% of 7600000

= Rs 4864000

Let the rate of interest be r% per annum.

Then,

70041= (4864000*r*r)/1002

r2 = 144

r= 12%##### 4. Question

**Directions (1-5): Study the following graphs and answer the given questions.**

**Total investment of Virat and Krish in six schemes (in lakhs)**

If scheme E offers compound interest at 16% per annum, then what is the difference between interest earned by Virat and Krish from scheme E after 3 years?Ans:1

Difference between the amount invested by Virat and Krish in scheme E=20% of 7200000 = Rs 1440000

Then Difference of interest earned by both of them= 1440000[((1+ (16/100)^{3}) -1]

= 1440000(1.5608-1) = 1440000(0.5608) = Rs 807690##### 5. Question

**Directions (1-5): Study the following graphs and answer the given questions.**

**Total investment of Virat and Krish in six schemes (in lakhs)**

If Krish invested in Scheme F for 4 years. If scheme F offers simple interest at 9% per annum for the first two years and then the sum with interest is invested for compound interest at 15% per annum for the third and fourth year, then what will be the interest earned by Krish after 4 year?Ans:5

Amount invested by Krish in scheme F=40% of 10000000

=Rs 4000000

Then total interest earned by Krish after 4 year= (4000000*2*9/100) + 32.25% of 4720000

= 720000+1522200

= Rs 2242200##### 6. Question

**Directions (6-10): Study the following and answer the following questions.**The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

If the expenditure of Company A in 2013 is 25% more than the expenditure of Company B in 2015, then the income of Company B in 2015 is what percent less than the income of Company A in 2013?Ans:3

Let us take the expenditure of company B in 2015 is Rs.100

Expenditure of company A in 2013 is Rs.125

Income of company B in 2015 = 100 * 150/100 = Rs.150

Income of company A in 2013 = 125*160/100 = Rs.200

Required percentage = (200-150)/200*100

=> 50/200*100 = 25%##### 7. Question

**Directions (6-10): Study the following and answer the following questions.**The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

If in the year 2010, the profit made by company A was Rs 60 crores, then what was its income in that year?Ans:2

Let the expenditure of Company A in 2010 be Rs 100x crores.

Since the profit percentage is 50 %, the income of Company A in 2010 be Rs 150x.

Since, the profit made by company A was Rs 60 crores we can say that

50% of 100x= 60

(i.e) 50x=60

X = 6/5

Then the income of Company A=150*6/5= Rs 180 crores##### 8. Question

**Directions (6-10): Study the following and answer the following questions.**The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

If in the year 2012, the expenditure of both companies A and B were equal, then what is the ratio of their respective incomes of Company A and B in the same year?Ans:1

Let the expenditure of Company A and expenditure of Company B in 2012 be Rs x.

Also let income of Company A be Rs P and income of Company B be Rs Q.

Now, In 2012 for Company A,

45= [(P-x)/x]*100

45/100= (P/x)-1

145/100=P/x

P=145x/100

Similarly, For Company B,

35= [(Q-x)/x]*100

35/100= (Q/x)-1

135/100=Q/x

Q=135x/100

Required ratio= (145x/100)/ (135x/100) = 29:27.##### 9. Question

**Directions (6-10): Study the following and answer the following questions.**The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

If company A and company B has equal profit in 2013, then income earned by company B is approximately what percent of the expenditures incurred by company A?Ans:3

Let the expenditure of company A be Rs 100x and the expenditure of company B be Rs 100y.

Then the income of company A and company B be Rs 160x and Rs 135y.

Since, company A and company B has equal profit in 2013,

60% of 100x=35% of 100y

(i.e) 60x=35y

x/y=7/12

Then, required percentage = (135y/100x)*100

= 135*12/7

= 230% (Approximately)##### 10. Question

**Directions (6-10): Study the following and answer the following questions.**The following line graph gives the annual percent profit earned by a Company during the period 2010-2015. Read the graph carefully and answer the following questions.

**Percent profit earned by Two Companies during 2010-2015**Note: Profit percent= [(Income-Expenditure)/Expenditure]*100

During which year the ratio of percentage profit earned to that in previous year by the company A is maximum?Ans:1

In 2011=30/50=0.6

In 2012=45/30=1.5

In 2013= 60/45=1.33

In 2014=55/60=0.91

In 2015= 40/55=0.72

Thus, In 2012 the ratio of percentage profit is Maximum.