Anna divided her salary among her son and daughter in the ration of 3 : 7. Find What percent of Anna salary did her son and daughter received. at Algebra Den

Arithmetic

Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method

Algebra

Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose

Geometry

Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral

Trigonometry

Trigonometry Ratios

Data-Handling

Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems

Home >> Ratio and Proportion >> Ratio to Percentage >> Examples

Ratio to Percentage : Solved Examples

Ratio as Fraction Equivalent Ratios Proportion Terms (Proportion) Ratio to Percentage

Anna divided her salary among her son and daughter in the ration of 3 : 7. Find What percent of Anna salary did her son and daughter received.

As per the given question:

Sons share : Daughter Share = 3 : 7
So, son share and daughter share are the term of ratio & their respective term value is:
Son share = 3
Daughter share = 7

Steps of Conversion are as follows:

Step 1 : Calculate Sum of terms of given ratio and we get:
3 + 7 = 10
Therefore sum of terms of given ratio = 10

Step 2 : Represent Ratio of Son share and Girl share in Fractional form
Fractional Form for son share = Son share Term Value / Sum of terms
Put value of son share and sum of terms from above and we get:
= 3/10
Therefore, Fractional Form for son share = 3/10

Fractional Form for daughter share = daughter share Term value / Sum of terms
Put value of daughter share and sum of terms from above and we get:
= 2/5
Therefore, Fractional Form for daughter share = 7/10

Step 3 : Convert Fractional Form into percentage
Percentage of son share = Fractional Form for son share x 100 %
Put value of Fractional Form for son share from above and we get:
= (3/10) X 100
Solve the above expression and we get:
= 30
Therefore, Percentage of Son share = 30%

Percentage for daughter share = Fractional Form for daughter share x 100 %
Put value of Fractional Form of daughter share from above and we get:
= (7/10) X 100
Solve the above expression and we get:
= 70
Therefore, Percentage of Daughter share = 70%

Hence, son got 30% and daughter got 70%; share of the total salary of Anna

Related Question Examples

In a class, boys and girls are in the ration of 3 : 2. Find the percentage of boys and girls in the class.

Anna divided her salary among her son and daughter in the ration of 3 : 7. Find What percent of Anna salary did her son and daughter received.

Length and breadth are in ratio of 2 : 8. Find their respective value in percentage.

In a triangle, sides are in ratio of 2 : 3 : 4. Find the equivalent value of sides in percentage.