A mother and her two daughters got a room constructed for ₹ 62,000. The elder daughter contributes 3/8 of her mother’s contribution while the younger daughter contributes ½ of her mother’s share. How much do the three contribute individually?
From the question it is given that,
A mother and her two daughters got a room constructed for = ₹ 62,000
Let us assume mother’s share be x,
Then,
The elder daughter’s contribute = 3/8 of her mother’s share
= 3/8 x
The younger daughter’s contribute = ½ of her mother’s share
= ½ x
So, mother’s share + elder daughter’s share + younger daughter’s share = ₹ 62,000
x + (3/8) x + ½ x = ₹ 62,000
The LCM of the denominators 1, 8 and 2 is 8
(1/1) = [(1×8)/ (1×8)] = (8/8)
(3/8) = [(3×1)/ (8×1)] = (3/8)
(1/2) = [(1×4)/ (2×4)] = (4/8)
Then,
(8/8) x + (3/8) x + (4/8) x = 62,000
(8x + 3x + 4x)/8 = 62,000
(15x/8) = 62,000
15x = 62,000 × 8
X = 496000/15
X = ₹ 33,066.6
∴Mother’s share = ₹ 33,066.6
Elder daughter’s share = 3/8 of her mother’s share
= 3/8 x
= 3/8 × 33066.6
= ₹ 12,400
Younger daughter’s share = ½ of her mother’s share
= ½ x
= ½ × 33066.6
= ₹ 16,533.3