 # ML Aggarwal Solutions Class 8 Mathematics Solutions for Rational Numbers Exercise 1.6 in Chapter 1 - Rational Numbers

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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