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Question

Question 122
A mother and her two daughters got a room constructed for Rs. 62000. The elder daughter contributes 38 of her mother's contribution while the younger daughter contributes 12 of her mother's share. How much do the three contribute individually?

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Solution

Let the mother's share be Rs. x
Now, elder daughter's share =Rs. 38x
and younger daughter's share =Rs. 12x
According to the question,
x+38x+x2=62000
8x+3x+4x8=6200015x=62000×8x=62000×815x=12400×83x=992003=33066.6
So, mother's share = Rs. 33066.6
Elder daughter's share =38×992003=Rs. 12400
Younger daughter's share =12×992003=Rs. 16533.3
Hence, mother and her two daughters contributed Rs. 33066.6, Rs. 12400 and Rs. 16533.3 respectively.

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