- Rational Numbers
- Exponents and Powers
- Squares and Square Roots
- Cubes and Cube Roots
- Playing with Numbers
- Operation on sets Venn Diagrams
- Percentage
- Simple and Compound Interest
- Direct and Inverse Variation
- Algebraic Expressions and Identities
- Factorisation
- Linear Equations and Inequalities In one Variable
- Understanding Quadrilaterals
- Constructions of Quadrilaterals
- Circle
- Symmetry Reflection and Rotation
- Visualising Solid Shapes
- Mensuration
- Data Handling
ML Aggarwal Solutions Class 8 Mathematics Solutions for Rational Numbers Exercise 1.6 in Chapter 1 - Rational Numbers
Prev
A mother and her two sons got a room constructed for Rs 60,000. The elder son
contributes 3 / 8 of his mother’s contribution while the younger son contributes 1 / 2
of his mother’s share. How much do the three contribute individually?
The cost of a room = Rs 60,000
Elder son contribution = 3 / 8 of his mother’s contribution
Younger son contribution = 1 / 2 of his mother’s share
Let the mother contribution be 1
Elder son’s contribution = 3 / 8
Younger son’s contribution = 1 / 2
Now,
Ratios in their share = 1: (3 / 8): (1 / 2)
= 8: 3: 4
Sum of ratios = 8 + 3 + 4
= 15
Therefore,
Mother’s share = (60000 × 8) / 15
= Rs 32000
Elder son’s share = (60000 × 3) / 15
= Rs 12000
Younger son’s share = (60000 × 4) / 15
= Rs 16000
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