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All questions of Proportion for Class 10 Exam

If 2, 3, 28 and x are in proportion then find the value of x.
  • a)
    42
  • b)
    28
  • c)
    56
  • d)
    14
Correct answer is option 'A'. Can you explain this answer?

Let present age of father be 7x and that of son is 2x
after 10 years, their ages will be 7x+10 and 2x+10 respectively
so ratio will be
(7x+10)/(2x+10) = 9/4
28x+40 = 18x+90
10x = 50
x = 5
so present age of father is 7x =
35 years
 

If x, 30,24 and 16 are in proportion then find the value of x.
  • a)
    45
  • b)
    60
  • c)
    15
  • d)
    80
Correct answer is option 'A'. Can you explain this answer?

Mahesh Chavan answered
Given: x, 30, 24, 16 are in proportion.

To find: The value of x.

Solution:

The given numbers are in proportion. This means that the ratio of any two consecutive numbers is equal to the ratio of the other two consecutive numbers.

Therefore, we can write:

x/30 = 24/16

Cross-multiplying, we get:

16x = 30 × 24

Simplifying, we get:

16x = 720

Dividing both sides by 16, we get:

x = 45

Therefore, the value of x is 45.

Hence, option A is the correct answer.

If 9, 18, x and 8 are in proportion then find the value of x.
  • a)
    2
  • b)
    4
  • c)
    3
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Neha Mehta answered
Given: 9, 18, x, 8 are in proportion

To find: value of x

Solution:

We know that when four numbers are in proportion, the product of the extremes is equal to the product of the means.

So, we can write:

9 × 8 = 18 × x

72 = 18x

4 = x

Therefore, the value of x is 4.

Hence, option B is the correct answer.

If 14, 16, x and 24 are in proportion then find the value of x.
  • a)
    10.5
  • b)
    21
  • c)
    5
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Praveen Kumar answered
To find the value of x in the proportion 14 : 16 = x : 24, use cross-multiplication:
14 × 24 = 16 × x
336 = 16x
Divide both sides by 16:
x = 21

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