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प्रश्न
A mother and her two daughters got a room constructed for Rs. 62,000. The elder daughter contributes `3/8` of her mother’s contribution while the younger daughter contributes `1/2` of her mother’s share. How much do the three contribute individually?
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उत्तर
Let the mother’s share be ₹ x.
Now, elder daughter’s share = ₹ `3/8x`
And younger daughter’s share = ₹ `1/2x`
According to the question,
`x + 3/8x + x/2 = 62000`
⇒ `(8x + 3x + 4x)/8 = 62000`
⇒ `15x = 62000 × 8`
⇒ `x = (62000 xx 8)/15`
⇒ `x = (12400 xx 8)/3`
⇒ `x = 99200/3 = 33066.6`
So, mother’s share = ₹ 33066.6
Elder daughter’s share = `3/8 xx 99200/3` = ₹ 12400
Younger daughter’s share = `1/2 xx 99200/3` = ₹ 16533.3
Hence, mother and her two daughters contributed ₹ 33066.6, ₹ 12400 and ₹ 16533.3, respectively.
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