A mother and her two daughters spent Rs 1, 35,000 in a shopping mall. If the elder daughter contributes 3/8 of her mother’s contribution and younger one’s contribution is 1/2 of her mother’s contribution. How much did the mother contribute?
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Answers
Step-by-step explanation:
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
Hope it helps.... ♥️
Let the mother's contribution =x
As per question elder sister's contribution=3/8 of her mother's contribution=3x/8
Same as younger sister's contribution=x/2
=>x+3x/8+x/2=1,35,000
=>8x+3x+4x/8=1,35,000(by taking the LCM of 8&2)
=>15x=1,35,000×8
=>15x=10,80,000
=>x=10,80,000/15
=72,000
Hence ,the contribution of mother=x=72,000
Elder sister's contribution= 3x/8=3×72,000/8 =27,000
Younger sister's contribution=
x/2=72,000/2=36,000 (Ans)