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The income of Amit and Babbi are in the ratio 3 : 2 and their expenditures are in the ratio 5 : 3. If each saves Rs 1000, what is their income? |
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A.
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Amit's income: Rs 3,000; Babbi's income: Rs 1,000
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B.
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Amit's income: Rs 9,000; Babbi's income: Rs 3,000
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C.
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Amit's income: Rs 6,000; Babbi's income: Rs 4,000 |
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D.
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Amit's income: Rs 12,000; Babbi's income: Rs 8,000
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View Answer
Shortcut:
The income of two persons are in the ratio a:b and their expenditure are in the ratio c:d. If each of them saves Rs Y, then their incomes are given by
Ya(d-c)
/
ad-bc
and
Yb(d-c)
/
ad-bc
Here, a:b = 3:2 (Income)
c:d=5:3(Expenditure)
Y=1000 (savings)
Putting these values in shortcut method, we get
Amit's income =
Ya(d-c)
/
ad-bc
=
1000 x 3(3-5)
/
3x3-2x5
= Rs 6000
Babbi's income =
Yb(d-c)
/
ad-bc
=
1000 x2(3-5)
/
3x3-2x5
= Rs 4,000
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