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Ratio& Proportion, Simple& Compound Interest,Time,Speed&distance

Total questions: 30

Worksheet time: 30mins

Name
Class
Date
1.

Two numbers are in the ratio 7 : 11. If their difference is 132, find the larger number.

a)

308

b)

264

c)

220

d)

363

2.

The ratio of boys to girls in a class is 5 : 3. If there are 24 girls, what is the total number of students?

a)

56

b)

64

c)

40

d)

48

3.

The salaries of A and B are in the ratio 4 : 5. If A’s salary increases by 20% and B’s by 10%, what is the new ratio?

a)

48 : 55

b)

22 : 25

c)

24 : 25

d)

16 : 17

4.

Milk and water are mixed in the ratio 3 : 1. If 10 liters of water is added and the ratio becomes 3 : 2, find the original quantity of milk.

a)

30 L

b)

40 L

c)

45 L

d)

60 L

5.

A sum is divided among A, B, and C in the ratio 2 : 3 : 5. If C gets ₹2000 more than A, what is the total sum?

a)

Rs.8,000

b)

Rs.10,000

c)

Rs.12,000

d)

Between Rs.6500-Rs.7000

6.

The ratio of the present ages of Ram and Shyam is 4 : 5. After 10 years, the ratio becomes 6 : 7. What is Ram’s present age?

a)

30

b)

20

c)

24

d)

40

7.

If x : y = 5 : 8 and y : z = 4 : 9, find x : y : z.

a)

5 : 8 : 18

b)

10 : 16 : 36

c)

20 : 32 : 72

d)

15 : 24 : 54

8.

Three containers contain milk in the ratio 1 : 2 : 3. If 20 liters are removed from each and the remaining milk is in the ratio 2 : 3 : 4, find the initial quantity of milk in the first container.

a)

20 L

b)

30 L

c)

Question Inconsistent

d)

50 L

9.

The ratio of copper to zinc in an alloy is 5 : 2. How much zinc should be added to 14 kg of alloy so that the ratio becomes 5 : 3?

a)

2 kg

b)

2.5 kg

c)

3 kg

d)

3.5 kg

10.

The incomes of A, B, and C are in the ratio 3 : 4 : 7 and expenses are in the ratio 4 : 5 : 8. If their savings are equal, find the ratio of income to expenditure.

a)

13 : 17

b)

3 : 4

c)

7 : 8

d)

Cannot be determined

11.

If a : b = 3 : 4 and b : c = 5 : 6, then a : b : c = ?

a)

15 : 20 : 24

b)

9 : 12 : 18

c)

6 : 8 : 10

d)

12 : 16 : 18

12.

If a : b = 3 : 4 and b : c = 5 : 6, then a : b : c = ?

a)

15 : 20 : 24

b)

9 : 12 : 18

c)

6 : 8 : 10

d)

12 : 16 : 18

13.

Divide ₹720 in the ratio 2 : 3 : 7. What is the largest share?

a)

Rs.120

b)

Rs.180

c)

Rs.240

d)

Rs.420

14.

The ratio of ages of A and B is 5 : 7. If the sum of their ages is 36 years, find B’s age.

a)

21 yrs

b)

14 yrs

c)

16 yrs

d)

24 yrs

15.

The ratio of speeds of two trains is 3 : 5. If the slower train covers 180 km in 3 hours, how long will the faster train take to cover 300 km?

a)

3 hrs

b)

4 hrs

c)

5 hrs

d)

6 hrs

16.

Find the simple interest on Rs.8000 at 12% per annum for 2 years.

a)

Rs.1600

b)

Rs.1800

c)

Rs.1920

d)

Rs.2000

17.

A sum amounts to Rs.7260 in 2 years at 10% simple interest. Find the principal.

a)

Rs.6000

b)

Rs.6050

c)

Rs.6600

d)

Rs.5500

18.

Find the compound interest on Rs. 5000 at 10% per annum for 2 years.

a)

Rs. 1050

b)

Rs. 1000

c)

Rs. 1100

d)

Rs. 1150

19.

Find the difference between compound interest and simple interest on Rs. 4000 for 2 years at 5% per annum.

a)

Rs. 20

b)

Rs. 15

c)

Rs. 10

d)

Rs. 25

20.

At what rate percent per annum will Rs. 6000 amount to Rs. 7200 in 4 years at simple interest?

a)

8%

b)

6%

c)

7.5%

d)

5%

21.

A sum doubles itself in 5 years at simple interest. Find the rate of interest.

a)

10%

b)

15%

c)

20%

d)

25%

22.

Find the amount on Rs. 10000 after 3 years at 8% compound interest.

a)

Rs. 12400

b)

Rs. 12597

c)

Rs. 12800

d)

Rs. 12500

23.

The compound interest on a sum for 2 years at 10% per annum is Rs. 420. Find the principal.

a)

Rs. 2100

b)

Rs. 2000

c)

Rs. 2200

d)

Rs. 2400

24.

In how many years will Rs. 9000 amount to Rs. 11700 at 10% simple interest?

a)

2 yrs

b)

3 yrs

c)

4 yrs

d)

5 yrs

25.

The difference between compound interest and simple interest on a sum at 5% per annum for 2 years is Rs. 25. Find the sum.

a)

Rs. 10000

b)

Rs. 9000

c)

Rs. 8000

d)

Rs. 5000

26.

If a car travels at a speed of 60 km/h, how long will it take to cover 180 km?

a)

3 hours

b)

4 hours

c)

2 hours

d)

5 hours

27.

If the ratio of boys to girls in a class is 3:2, how many girls are there if there are 15 boys?

a)

10

b)

8

c)

15

d)

2

28.

Calculate the simple interest on a principal of $1000 at a rate of 5% per annum for 3 years

a)

300

b)

100

c)

200

d)

150

29.

A job can be completed by 4 workers in 10 days. How many days will it take for 2 workers to complete the same job?

a)

25

b)

30

c)

15

d)

20

30.

Convert the ratio 4:5 into a fraction

a)

4:5

b)

5/4

c)

4/5

d)

1/2