Statement Sums involving Proportion


 
 
Concept Explanation
 

Statement Sums Involving Proportion

Statement Sums involving Proportion:

In the statement we are given a relation  and then a value of one thing we are supposed to find the value of the other thing.  Sometimes we are given the values of the certain quantities we are supposed to find the whether they are in proportion

Illustration: The first, second and third terms of the proportion are 42, 36, 35. Find the fourth term.

Solution:  Let the fourth term be x.

Thus 42, 36, 35, x are in proportion.

Product of extreme terms = 42 ×x

Product of mean terms = 36 X 35

Since, the numbers make up a proportion

Therefore,

product of extreme = product of mean

42 × x = 36 × 35

or, x = frac{(36 times 35)}{42}

or, x = 30

Therefore, the fourth term of the proportion is 30.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

At a particular time, the shadow of a pole and tower are respectively 15 m and 45m. If the height of the tower is 60m, find the height of the pole.

Right Option : A
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Explanation
Question : 2

Coins of 50 paise, Rs.1, Rs. 5 and x are in proportion. Find the value of x.

Right Option : C
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Explanation
Question : 3

A farmer planted 2160 tomato plants in a field in rows, each having 72 plants. A certain type of worm destroyed 27 plants in each row. How many plants did the worm destroy in the whole field ?

Right Option : C
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Explanation
 
 


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