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Question

A mother and her two daughters constructed a room for ₹62,000. The elder daughter contributes 3/8 of her mother's contribution while the younger daughter contributes 1/2 of her mother share. How much do the three contribute individually?

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Solution

Let,
the mother's share = x
according to the question,
elder daughter's contribution= 3/8 x
younger daughter's contribution = 1/2 x
now,
x +3x/8 + x/2 = 62000
(8x +3x+4x)/8 = 62000
15x = 496000
x = 496000/15
x = mother's share= 33067
3/8 x = elder daughter's share = 33067 × 3/8 = 12400
1/2 x = younger daughter's share = 33067/2 = 16533

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