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Direct And Inverse Proportions

Question

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A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.

Solution

Some More Questions From Direct and Inverse Proportions Chapter

Observe the following tables and find if x and y are directly proportional.
(i)

X

20

17

14

11

8

5

2

y

40

34

28

22

16

10

4

(ii)

X

6

10

14

18

22

26

30

y

4

8

12

16

20

24

28

(iii)

X

5

8

12

15

18

20

y

15

24

36

60

72

100

If we fix time period and the rate of interest, simple interest changes proportionally with principal. Would there be a similar relationship for compound interest? Why?

Following are the car parking charges near a railway station upto

A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.

In question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Number of bottles filled

Number of hours

840

6

X

5

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28m, how long is the model ship?

Suppose 2 kg of sugar contains 9 x 10⁶ crystals. How many sugar crystals are there in (i) 5 kg of sugar? and (ii) 1.2 kg of sugar?

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

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