NCERT Exemplar Solutions Class 8 Mathematics Solutions for Rational Numbers - Exercise in Chapter 1 - Rational Numbers

Question 99 Rational Numbers - Exercise

A mother and her two daughters got a room constructed for ₹ 62,000. The elder daughter contributes \frac{3}{8} of her mother’s contribution while the younger daughter contributes ½ of her mother’s share. How much is contribution of mother?


Let the share of the mother is x

Elder daughter’s share = ( \frac{3}{8} )x

Younger daughter’s share= (½ )x

Total amount = 620000

x+\frac{3}{8} x+\frac{1}{2} x=62000 \\ \frac{8 x+3 x+4 x}{8}=62000 \\ \frac{15 x}{8}=62000 \\ x=62000 \times \frac{8}{15} \\ x=33066

∴Mother’s contribution= ₹ 33,066.66

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