Properties of Proportion

IMPORTANT

Properties of Proportion: Overview

In this topic, we will be able to learn the properties of proportion. It tells about invertendo, alternendo, componendo, dividendo, convertendo, addendo and subtrahendo. It also helps to improve our algebraic concepts.

Important Questions on Properties of Proportion

EASY
IMPORTANT

If a12+a22a12-a22=53, then find a2a1

HARD
IMPORTANT

If x+20+x-1x+20-x-1=73, then what is the value of x+20x-1 ?

EASY
IMPORTANT

If a: b = c:d, and e:f=g:h, then (ae + bf): (ae - bf) = ?

EASY
IMPORTANT

If a: b = c:d, and e:f=g:h, then (ae + bf): (ae - bf) = ?

EASY
IMPORTANT

The value of x, which satisfies the equation (m+n)x-(a-b)(m-n)x-(a+b)=(m+n)x+a+c(m-n)x+a-c is

EASY
IMPORTANT

The number of solutions of the equations 3x4+x2-2x-33x4-x2+2x+3=5x4+2x2-7x+35x4-2x2+7x-3 is

EASY
IMPORTANT

The number of solutions of the equation 2x3-3x2+x+12x3-3x2-x-1=3x3-x2+5x-133x3-x2-5x+13 is

EASY
IMPORTANT

If yx-z=y+xz=xy, then the ratio of x:y:z is

EASY
IMPORTANT

If (4a+9b)×(4c9d)=(4a9b)(4c+9d), then the value of a:b can be equal to:

HARD
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If p=4xyx+y, then the value of (p+2x)p+2x+ (p+2x)p-2y will be:

EASY
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If 2x+3y2y=74 then by property of  Dividendo, we can write as 

MEDIUM
IMPORTANT

By Alternendo Property, for four numbers p, q, r, s if p:q=r:s, then  p:r=s:q.

MEDIUM
IMPORTANT

By Alternendo Property, for four numbers a, b, c, d if a:b=c:d, then  a:c= _____.

MEDIUM
IMPORTANT

State and prove Alternendo property. Give an example.

MEDIUM
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By Invertendo property, for four numbers a, b, c, d if a:b=c:d, then  b:a= _____.

MEDIUM
IMPORTANT

State and prove Invertendo property.

EASY
IMPORTANT

If 5x+2y2y=53 then prove that x:y=4:15 using properties of proportions.

EASY
IMPORTANT

If ab=cd then prove b+aa=c+dc .

EASY
IMPORTANT

If xy=zt, the prove that y-xx=t-zz.

HARD
IMPORTANT

A certain amount of money is distributed between Ajay and Vijay in a ratio of 3 : 5 . If the share of Ajay is  30 less than the money distributed to Ajay, then find the sum of money distributed :